---
_id: '16553'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Stefan
  full_name: Sertl, Stefan
  last_name: Sertl
citation:
  ama: 'Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated
    Eigenvalues of the Perron-Frobenius Operator. In: <i>Equadiff 99</i>. ; 2000.
    doi:<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>'
  apa: Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). A Conjecture on the Existence
    of Isolated Eigenvalues of the Perron-Frobenius Operator. In <i>Equadiff 99</i>.
    <a href="https://doi.org/10.1142/9789812792617_0199">https://doi.org/10.1142/9789812792617_0199</a>
  bibtex: '@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence
    of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>},
    booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl,
    Stefan}, year={2000} }'
  chicago: Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the
    Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In <i>Equadiff
    99</i>, 2000. <a href="https://doi.org/10.1142/9789812792617_0199">https://doi.org/10.1142/9789812792617_0199</a>.
  ieee: M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of
    Isolated Eigenvalues of the Perron-Frobenius Operator,” in <i>Equadiff 99</i>,
    2000.
  mla: Dellnitz, Michael, et al. “A Conjecture on the Existence of Isolated Eigenvalues
    of the Perron-Frobenius Operator.” <i>Equadiff 99</i>, 2000, doi:<a href="https://doi.org/10.1142/9789812792617_0199">10.1142/9789812792617_0199</a>.
  short: 'M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.'
date_created: 2020-04-15T09:08:34Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0199
language:
- iso: eng
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius
  Operator
type: book_chapter
user_id: '15701'
year: '2000'
...
---
_id: '16554'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Stefan
  full_name: Sertl, Stefan
  last_name: Sertl
citation:
  ama: Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius
    operator. <i>Nonlinearity</i>. 2000:1171-1188. doi:<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>
  apa: Dellnitz, M., Froyland, G., &#38; Sertl, S. (2000). On the isolated spectrum
    of the Perron-Frobenius operator. <i>Nonlinearity</i>, 1171–1188. <a href="https://doi.org/10.1088/0951-7715/13/4/310">https://doi.org/10.1088/0951-7715/13/4/310</a>
  bibtex: '@article{Dellnitz_Froyland_Sertl_2000, title={On the isolated spectrum
    of the Perron-Frobenius operator}, DOI={<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>},
    journal={Nonlinearity}, author={Dellnitz, Michael and Froyland, Gary and Sertl,
    Stefan}, year={2000}, pages={1171–1188} }'
  chicago: Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum
    of the Perron-Frobenius Operator.” <i>Nonlinearity</i>, 2000, 1171–88. <a href="https://doi.org/10.1088/0951-7715/13/4/310">https://doi.org/10.1088/0951-7715/13/4/310</a>.
  ieee: M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius
    operator,” <i>Nonlinearity</i>, pp. 1171–1188, 2000.
  mla: Dellnitz, Michael, et al. “On the Isolated Spectrum of the Perron-Frobenius
    Operator.” <i>Nonlinearity</i>, 2000, pp. 1171–88, doi:<a href="https://doi.org/10.1088/0951-7715/13/4/310">10.1088/0951-7715/13/4/310</a>.
  short: M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
date_created: 2020-04-15T09:09:46Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/13/4/310
language:
- iso: eng
page: 1171-1188
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
status: public
title: On the isolated spectrum of the Perron-Frobenius operator
type: journal_article
user_id: '15701'
year: '2000'
...
---
_id: '16616'
author:
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: 'Junge O. Rigorous discretization of subdivision techniques. In: <i>Equadiff
    99</i>. ; 2000. doi:<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>'
  apa: Junge, O. (2000). Rigorous discretization of subdivision techniques. In <i>Equadiff
    99</i>. <a href="https://doi.org/10.1142/9789812792617_0178">https://doi.org/10.1142/9789812792617_0178</a>
  bibtex: '@inbook{Junge_2000, title={Rigorous discretization of subdivision techniques},
    DOI={<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>},
    booktitle={Equadiff 99}, author={Junge, Oliver}, year={2000} }'
  chicago: Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In
    <i>Equadiff 99</i>, 2000. <a href="https://doi.org/10.1142/9789812792617_0178">https://doi.org/10.1142/9789812792617_0178</a>.
  ieee: O. Junge, “Rigorous discretization of subdivision techniques,” in <i>Equadiff
    99</i>, 2000.
  mla: Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” <i>Equadiff
    99</i>, 2000, doi:<a href="https://doi.org/10.1142/9789812792617_0178">10.1142/9789812792617_0178</a>.
  short: 'O. Junge, in: Equadiff 99, 2000.'
date_created: 2020-04-16T08:07:52Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0178
language:
- iso: eng
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: Rigorous discretization of subdivision techniques
type: book_chapter
user_id: '15701'
year: '2000'
...
---
_id: '17018'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin
  full_name: Rumpf, Martin
  last_name: Rumpf
- first_name: Robert
  full_name: Strzodka, Robert
  last_name: Strzodka
citation:
  ama: 'Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant
    set inside a cylinder containing a knotted flow. In: <i>Equadiff 99</i>. ; 2000:1053--1059.
    doi:<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>'
  apa: Dellnitz, M., Junge, O., Rumpf, M., &#38; Strzodka, R. (2000). The computation
    of an unstable invariant set inside a cylinder containing a knotted flow. In <i>Equadiff
    99</i> (pp. 1053--1059). <a href="https://doi.org/10.1142/9789812792617_0204">https://doi.org/10.1142/9789812792617_0204</a>
  bibtex: '@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an
    unstable invariant set inside a cylinder containing a knotted flow}, DOI={<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>},
    booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf,
    Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }'
  chicago: Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The
    Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted
    Flow.” In <i>Equadiff 99</i>, 1053--1059, 2000. <a href="https://doi.org/10.1142/9789812792617_0204">https://doi.org/10.1142/9789812792617_0204</a>.
  ieee: M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, “The computation of an unstable
    invariant set inside a cylinder containing a knotted flow,” in <i>Equadiff 99</i>,
    2000, pp. 1053--1059.
  mla: Dellnitz, Michael, et al. “The Computation of an Unstable Invariant Set inside
    a Cylinder Containing a Knotted Flow.” <i>Equadiff 99</i>, 2000, pp. 1053--1059,
    doi:<a href="https://doi.org/10.1142/9789812792617_0204">10.1142/9789812792617_0204</a>.
  short: 'M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp.
    1053--1059.'
date_created: 2020-05-19T09:13:56Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
doi: 10.1142/9789812792617_0204
language:
- iso: eng
page: 1053--1059
publication: Equadiff 99
publication_identifier:
  isbn:
  - '9789810243593'
  - '9789812792617'
publication_status: published
status: public
title: The computation of an unstable invariant set inside a cylinder containing a
  knotted flow
type: book_chapter
user_id: '32643'
year: '2000'
...
---
_id: '34900'
abstract:
- lang: eng
  text: We describe methods for the computation of Galois groups of univariate polynomials
    over the rationals which we have implemented up to degree 15. These methods are
    based on Stauduhar’s algorithm. All computations are done in unramified p -adic
    extensions. For imprimitive groups we give an improvement using subfields. In
    the primitive case we use known subgroups of the Galois group together with a
    combination of Stauduhar’s method and the absolute resolvent method.
author:
- first_name: Katharina
  full_name: Geissler, Katharina
  last_name: Geissler
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal
    of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>
  apa: Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational
    Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a
    href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>
  bibtex: '@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational
    Polynomials}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674}
    }'
  chicago: 'Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for
    Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    653–74. <a href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>.'
  ieee: 'K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,”
    <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi:
    <a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.'
  mla: Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational
    Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier
    BV, 2000, pp. 653–74, doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.
  short: K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
date_created: 2022-12-23T09:58:16Z
date_updated: 2023-03-06T09:58:06Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0377
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 653-674
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Galois Group Computation for Rational Polynomials
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34901'
abstract:
- lang: eng
  text: Let L = K(α) be an Abelian extension of degree n of a number field K, given
    by the minimal polynomial of α over K. We describe an algorithm for computing
    the local Artin map associated with the extension L / K at a finite or infinite
    prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from
    L, assuming that L / K is cyclic.
author:
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations.
    <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>
  apa: Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability
    of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252.
    <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>
  bibtex: '@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability
    of Norm Equations}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }'
  chicago: 'Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and
    Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no.
    3 (2000): 239–52. <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>.'
  ieee: 'V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of
    Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252,
    2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.'
  mla: Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability
    of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier
    BV, 2000, pp. 239–52, doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.
  short: V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
date_created: 2022-12-23T09:58:48Z
date_updated: 2023-03-06T09:57:34Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0361
intvolume: '        30'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 239-252
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing Local Artin Maps, and Solvability of Norm Equations
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34899'
abstract:
- lang: eng
  text: We describe methods for the construction of polynomials with certain types
    of Galois groups. As an application we deduce that all transitive groups G up
    to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each
    case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree
    up to 15. <i>Journal of Symbolic Computation</i>. 2000;30(6):675-716. doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>
  apa: Klüners, J., &#38; Malle, G. (2000). Explicit Galois Realization of Transitive
    Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>, <i>30</i>(6),
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>
  bibtex: '@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive
    Groups of Degree up to 15}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>.'
  ieee: 'J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups
    of Degree up to 15,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp.
    675–716, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i>, vol. 30, no.
    6, Elsevier BV, 2000, pp. 675–716, doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.
  short: J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
date_created: 2022-12-23T09:57:28Z
date_updated: 2023-03-06T10:48:05Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0378
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 675-716
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Explicit Galois Realization of Transitive Groups of Degree up to 15
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34898'
abstract:
- lang: eng
  text: We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove
    that SL₂(11) is the Galois group of a regular extension of ℚ (t).
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>.
    2000;30(6):733-737. doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>
  apa: Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic
    Computation</i>, <i>30</i>(6), 733–737. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>
  bibtex: '@article{Klüners_2000, title={A Polynomial with Galois GroupSL2(11)}, volume={30},
    DOI={<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={2000}, pages={733–737} }'
  chicago: 'Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of
    Symbolic Computation</i> 30, no. 6 (2000): 733–37. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>.'
  ieee: 'J. Klüners, “A Polynomial with Galois GroupSL2(11),” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, pp. 733–737, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.'
  mla: Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.
  short: J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
date_created: 2022-12-23T09:56:52Z
date_updated: 2023-03-06T10:48:40Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0380
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 733-737
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: A Polynomial with Galois GroupSL2(11)
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '16511'
author:
- first_name: Philip J.
  full_name: Aston, Philip J.
  last_name: Aston
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration
    with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics
    and Engineering</i>. 1999:223-237. doi:<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>
  apa: Aston, P. J., &#38; Dellnitz, M. (1999). The computation of lyapunov exponents
    via spatial integration with application to blowout bifurcations. <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 223–237. <a href="https://doi.org/10.1016/s0045-7825(98)00196-0">https://doi.org/10.1016/s0045-7825(98)00196-0</a>
  bibtex: '@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents
    via spatial integration with application to blowout bifurcations}, DOI={<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>},
    journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston,
    Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }'
  chicago: Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents
    via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 1999, 223–37. <a href="https://doi.org/10.1016/s0045-7825(98)00196-0">https://doi.org/10.1016/s0045-7825(98)00196-0</a>.
  ieee: P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial
    integration with application to blowout bifurcations,” <i>Computer Methods in
    Applied Mechanics and Engineering</i>, pp. 223–237, 1999.
  mla: Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents
    via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 1999, pp. 223–37, doi:<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>.
  short: P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering
    (1999) 223–237.
date_created: 2020-04-15T07:27:08Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/s0045-7825(98)00196-0
language:
- iso: eng
page: 223-237
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
  issn:
  - 0045-7825
publication_status: published
status: public
title: The computation of lyapunov exponents via spatial integration with application
  to blowout bifurcations
type: journal_article
user_id: '15701'
year: '1999'
...
---
_id: '16537'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior.
    <i>SIAM Journal on Numerical Analysis</i>. 1999:491-515. doi:<a href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>
  apa: Dellnitz, M., &#38; Junge, O. (1999). On the Approximation of Complicated Dynamical
    Behavior. <i>SIAM Journal on Numerical Analysis</i>, 491–515. <a href="https://doi.org/10.1137/s0036142996313002">https://doi.org/10.1137/s0036142996313002</a>
  bibtex: '@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated
    Dynamical Behavior}, DOI={<a href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>},
    journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge,
    Oliver}, year={1999}, pages={491–515} }'
  chicago: Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated
    Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, 491–515.
    <a href="https://doi.org/10.1137/s0036142996313002">https://doi.org/10.1137/s0036142996313002</a>.
  ieee: M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,”
    <i>SIAM Journal on Numerical Analysis</i>, pp. 491–515, 1999.
  mla: Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical
    Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, pp. 491–515, doi:<a
    href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>.
  short: M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.
date_created: 2020-04-15T08:35:45Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1137/s0036142996313002
language:
- iso: eng
page: 491-515
publication: SIAM Journal on Numerical Analysis
publication_identifier:
  issn:
  - 0036-1429
  - 1095-7170
publication_status: published
status: public
title: On the Approximation of Complicated Dynamical Behavior
type: journal_article
user_id: '15701'
year: '1999'
...
---
_id: '16584'
author:
- first_name: Peter
  full_name: Deuflhard, Peter
  last_name: Deuflhard
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Christof
  full_name: Schütte, Christof
  last_name: Schütte
citation:
  ama: 'Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular
    Dynamics by Subdivision Techniques. In: <i>Computational Molecular Dynamics: Challenges,
    Methods, Ideas</i>. Berlin, Heidelberg; 1999. doi:<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>'
  apa: 'Deuflhard, P., Dellnitz, M., Junge, O., &#38; Schütte, C. (1999). Computation
    of Essential Molecular Dynamics by Subdivision Techniques. In <i>Computational
    Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg. <a href="https://doi.org/10.1007/978-3-642-58360-5_5">https://doi.org/10.1007/978-3-642-58360-5_5</a>'
  bibtex: '@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg},
    title={Computation of Essential Molecular Dynamics by Subdivision Techniques},
    DOI={<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>},
    booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard,
    Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999}
    }'
  chicago: 'Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte.
    “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In <i>Computational
    Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg, 1999.
    <a href="https://doi.org/10.1007/978-3-642-58360-5_5">https://doi.org/10.1007/978-3-642-58360-5_5</a>.'
  ieee: 'P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential
    Molecular Dynamics by Subdivision Techniques,” in <i>Computational Molecular Dynamics:
    Challenges, Methods, Ideas</i>, Berlin, Heidelberg, 1999.'
  mla: 'Deuflhard, Peter, et al. “Computation of Essential Molecular Dynamics by Subdivision
    Techniques.” <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>,
    1999, doi:<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>.'
  short: 'P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular
    Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.'
date_created: 2020-04-16T05:43:16Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-642-58360-5_5
language:
- iso: eng
place: Berlin, Heidelberg
publication: 'Computational Molecular Dynamics: Challenges, Methods, Ideas'
publication_identifier:
  isbn:
  - '9783540632429'
  - '9783642583605'
  issn:
  - 1439-7358
publication_status: published
status: public
title: Computation of Essential Molecular Dynamics by Subdivision Techniques
type: book_chapter
user_id: '15701'
year: '1999'
...
---
_id: '17017'
author:
- first_name: David
  full_name: Bürkle, David
  last_name: Bürkle
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin
  full_name: Rumpf, Martin
  last_name: Rumpf
- first_name: Michael
  full_name: Spielberg, Michael
  last_name: Spielberg
citation:
  ama: Bürkle D, Dellnitz M, Junge O, Rumpf M, Spielberg M. Visualizing Complicated
    Dynamics. <i>Proceedings of Visualization 99</i>. 1999.
  apa: Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., &#38; Spielberg, M. (1999).
    Visualizing Complicated Dynamics. <i>Proceedings of Visualization 99</i>.
  bibtex: '@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing
    Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle,
    David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg,
    Michael}, year={1999} }'
  chicago: Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael
    Spielberg. “Visualizing Complicated Dynamics.” <i>Proceedings of Visualization
    99</i>, 1999.
  ieee: D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, “Visualizing
    Complicated Dynamics,” <i>Proceedings of Visualization 99</i>, 1999.
  mla: Bürkle, David, et al. “Visualizing Complicated Dynamics.” <i>Proceedings of
    Visualization 99</i>, 1999.
  short: D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of
    Visualization 99 (1999).
date_created: 2020-05-19T09:12:53Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
language:
- iso: eng
publication: Proceedings of Visualization 99
status: public
title: Visualizing Complicated Dynamics
type: journal_article
user_id: '32643'
year: '1999'
...
---
_id: '34902'
abstract:
- lang: eng
  text: We present a new polynomial decomposition which generalizes the functional
    and homogeneous bivariate decomposition of irreducible monic polynomials in one
    variable over the rationals. With these decompositions it is possible to calculate
    the roots of an imprimitive polynomial by solving polynomial equations of lower
    degree.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>.
    1999;27(3):261-269. doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>
  apa: Klüners, J. (1999). On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>,
    <i>27</i>(3), 261–269. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>
  bibtex: '@article{Klüners_1999, title={On Polynomial Decompositions}, volume={27},
    DOI={<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={1999}, pages={261–269} }'
  chicago: 'Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic
    Computation</i> 27, no. 3 (1999): 261–69. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>.'
  ieee: 'J. Klüners, “On Polynomial Decompositions,” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, pp. 261–269, 1999, doi: <a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.'
  mla: Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.
  short: J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
date_created: 2022-12-23T10:01:15Z
date_updated: 2023-03-06T09:21:29Z
department:
- _id: '102'
doi: 10.1006/jsco.1998.0252
intvolume: '        27'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 261-269
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Polynomial Decompositions
type: journal_article
user_id: '93826'
volume: 27
year: '1999'
...
---
_id: '35941'
abstract:
- lang: eng
  text: "Let L = ℚ(α) be an abelian number field of degree n. Most\r\nalgorithms for
    computing the lattice of subfields of L require the computation\r\nof all the
    conjugates of α. This is usually achieved by factoring the minimal\r\npolynomial
    mα(x) of α over L. In practice, the existing algorithms for factoring\r\npolynomials
    over algebraic number fields can handle only problems of moderate\r\nsize. In
    this paper we describe a fast probabilistic algorithm for computing\r\nthe conjugates
    of α, which is based on p-adic techniques. Given mα(x) and a\r\nrational prime
    p which does not divide the discriminant disc(mα(x)) of mα(x),\r\nthe algorithm
    computes the Frobenius automorphism of p in time polynomial\r\nin the size of
    p and in the size of mα(x). By repeatedly applying the algorithm\r\nto randomly
    chosen primes it is possible to compute all the conjugates of α."
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
citation:
  ama: Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. <i>Mathematics
    of Computation</i>. 1999;68(227):1179-1186.
  apa: Klüners, J., &#38; Acciaro, V. (1999). Computing Automorphisms of Abelian Number
    Fields. <i>Mathematics of Computation</i>, <i>68</i>(227), 1179–1186.
  bibtex: '@article{Klüners_Acciaro_1999, title={Computing Automorphisms of Abelian
    Number Fields}, volume={68}, number={227}, journal={Mathematics of Computation},
    publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Acciaro,
    Vincenzo}, year={1999}, pages={1179–1186} }'
  chicago: 'Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian
    Number Fields.” <i>Mathematics of Computation</i> 68, no. 227 (1999): 1179–86.'
  ieee: J. Klüners and V. Acciaro, “Computing Automorphisms of Abelian Number Fields,”
    <i>Mathematics of Computation</i>, vol. 68, no. 227, pp. 1179–1186, 1999.
  mla: Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian
    Number Fields.” <i>Mathematics of Computation</i>, vol. 68, no. 227, American
    Mathematical Society (AMS), 1999, pp. 1179–86.
  short: J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.
date_created: 2023-01-11T09:31:21Z
date_updated: 2023-03-06T10:28:52Z
department:
- _id: '102'
intvolume: '        68'
issue: '227'
language:
- iso: eng
page: 1179-1186
publication: Mathematics of Computation
publication_identifier:
  issn:
  - 1088-6842
  - 0025-5718
publication_status: published
publisher: American Mathematical Society (AMS)
related_material:
  link:
  - relation: confirmation
    url: https://www.ams.org/journals/mcom/1999-68-227/S0025-5718-99-01084-4/S0025-5718-99-01084-4.pdf
status: public
title: Computing Automorphisms of Abelian Number Fields
type: journal_article
user_id: '93826'
volume: 68
year: '1999'
...
---
_id: '16536'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: Dellnitz M, Junge O. An adaptive subdivision technique for the approximation
    of attractors and invariant measures. <i>Computing and Visualization in Science</i>.
    1998:63-68. doi:<a href="https://doi.org/10.1007/s007910050006">10.1007/s007910050006</a>
  apa: Dellnitz, M., &#38; Junge, O. (1998). An adaptive subdivision technique for
    the approximation of attractors and invariant measures. <i>Computing and Visualization
    in Science</i>, 63–68. <a href="https://doi.org/10.1007/s007910050006">https://doi.org/10.1007/s007910050006</a>
  bibtex: '@article{Dellnitz_Junge_1998, title={An adaptive subdivision technique
    for the approximation of attractors and invariant measures}, DOI={<a href="https://doi.org/10.1007/s007910050006">10.1007/s007910050006</a>},
    journal={Computing and Visualization in Science}, author={Dellnitz, Michael and
    Junge, Oliver}, year={1998}, pages={63–68} }'
  chicago: Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique
    for the Approximation of Attractors and Invariant Measures.” <i>Computing and
    Visualization in Science</i>, 1998, 63–68. <a href="https://doi.org/10.1007/s007910050006">https://doi.org/10.1007/s007910050006</a>.
  ieee: M. Dellnitz and O. Junge, “An adaptive subdivision technique for the approximation
    of attractors and invariant measures,” <i>Computing and Visualization in Science</i>,
    pp. 63–68, 1998.
  mla: Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for
    the Approximation of Attractors and Invariant Measures.” <i>Computing and Visualization
    in Science</i>, 1998, pp. 63–68, doi:<a href="https://doi.org/10.1007/s007910050006">10.1007/s007910050006</a>.
  short: M. Dellnitz, O. Junge, Computing and Visualization in Science (1998) 63–68.
date_created: 2020-04-15T08:33:03Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/s007910050006
language:
- iso: eng
page: 63-68
publication: Computing and Visualization in Science
publication_identifier:
  issn:
  - 1432-9360
  - 1433-0369
publication_status: published
status: public
title: An adaptive subdivision technique for the approximation of attractors and invariant
  measures
type: journal_article
user_id: '15701'
year: '1998'
...
---
_id: '16535'
abstract:
- lang: eng
  text: <jats:p> Recently multilevel subdivision techniques have been introduced in
    the numerical investigation of complicated dynamical behavior. We illustrate the
    applicability and efficiency of these methods by a detailed numerical study of
    Chua's circuit. In particular we will show that there exist two regions in phase
    space which are almost invariant in the sense that typical trajectories stay inside
    each of these sets on average for quite a long time. </jats:p>
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: Dellnitz M, Junge O. Almost Invariant Sets in Chua’s Circuit. <i>International
    Journal of Bifurcation and Chaos</i>. 1997:2475-2485. doi:<a href="https://doi.org/10.1142/s0218127497001655">10.1142/s0218127497001655</a>
  apa: Dellnitz, M., &#38; Junge, O. (1997). Almost Invariant Sets in Chua’s Circuit.
    <i>International Journal of Bifurcation and Chaos</i>, 2475–2485. <a href="https://doi.org/10.1142/s0218127497001655">https://doi.org/10.1142/s0218127497001655</a>
  bibtex: '@article{Dellnitz_Junge_1997, title={Almost Invariant Sets in Chua’s Circuit},
    DOI={<a href="https://doi.org/10.1142/s0218127497001655">10.1142/s0218127497001655</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
    and Junge, Oliver}, year={1997}, pages={2475–2485} }'
  chicago: Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.”
    <i>International Journal of Bifurcation and Chaos</i>, 1997, 2475–85. <a href="https://doi.org/10.1142/s0218127497001655">https://doi.org/10.1142/s0218127497001655</a>.
  ieee: M. Dellnitz and O. Junge, “Almost Invariant Sets in Chua’s Circuit,” <i>International
    Journal of Bifurcation and Chaos</i>, pp. 2475–2485, 1997.
  mla: Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.”
    <i>International Journal of Bifurcation and Chaos</i>, 1997, pp. 2475–85, doi:<a
    href="https://doi.org/10.1142/s0218127497001655">10.1142/s0218127497001655</a>.
  short: M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (1997)
    2475–2485.
date_created: 2020-04-15T08:31:50Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127497001655
language:
- iso: eng
page: 2475-2485
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: Almost Invariant Sets in Chua's Circuit
type: journal_article
user_id: '15701'
year: '1997'
...
---
_id: '16552'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Andreas
  full_name: Hohmann, Andreas
  last_name: Hohmann
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin
  full_name: Rumpf, Martin
  last_name: Rumpf
citation:
  ama: 'Dellnitz M, Hohmann A, Junge O, Rumpf M. Exploring invariant sets and invariant
    measures. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 1997:221-228.
    doi:<a href="https://doi.org/10.1063/1.166223">10.1063/1.166223</a>'
  apa: 'Dellnitz, M., Hohmann, A., Junge, O., &#38; Rumpf, M. (1997). Exploring invariant
    sets and invariant measures. <i>Chaos: An Interdisciplinary Journal of Nonlinear
    Science</i>, 221–228. <a href="https://doi.org/10.1063/1.166223">https://doi.org/10.1063/1.166223</a>'
  bibtex: '@article{Dellnitz_Hohmann_Junge_Rumpf_1997, title={Exploring invariant
    sets and invariant measures}, DOI={<a href="https://doi.org/10.1063/1.166223">10.1063/1.166223</a>},
    journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, author={Dellnitz,
    Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin}, year={1997},
    pages={221–228} }'
  chicago: 'Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring
    Invariant Sets and Invariant Measures.” <i>Chaos: An Interdisciplinary Journal
    of Nonlinear Science</i>, 1997, 221–28. <a href="https://doi.org/10.1063/1.166223">https://doi.org/10.1063/1.166223</a>.'
  ieee: 'M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, “Exploring invariant sets
    and invariant measures,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>,
    pp. 221–228, 1997.'
  mla: 'Dellnitz, Michael, et al. “Exploring Invariant Sets and Invariant Measures.”
    <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, 1997, pp. 221–28,
    doi:<a href="https://doi.org/10.1063/1.166223">10.1063/1.166223</a>.'
  short: 'M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf, Chaos: An Interdisciplinary
    Journal of Nonlinear Science (1997) 221–228.'
date_created: 2020-04-15T09:06:28Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1063/1.166223
language:
- iso: eng
page: 221-228
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_identifier:
  issn:
  - 1054-1500
  - 1089-7682
publication_status: published
status: public
title: Exploring invariant sets and invariant measures
type: journal_article
user_id: '15701'
year: '1997'
...
---
_id: '16614'
author:
- first_name: Rabbijah
  full_name: Guder, Rabbijah
  last_name: Guder
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Edwin
  full_name: Kreuzer, Edwin
  last_name: Kreuzer
citation:
  ama: Guder R, Dellnitz M, Kreuzer E. An adaptive method for the approximation of
    the generalized cell mapping. <i>Chaos, Solitons &#38; Fractals</i>. 1997:525-534.
    doi:<a href="https://doi.org/10.1016/s0960-0779(96)00118-x">10.1016/s0960-0779(96)00118-x</a>
  apa: Guder, R., Dellnitz, M., &#38; Kreuzer, E. (1997). An adaptive method for the
    approximation of the generalized cell mapping. <i>Chaos, Solitons &#38; Fractals</i>,
    525–534. <a href="https://doi.org/10.1016/s0960-0779(96)00118-x">https://doi.org/10.1016/s0960-0779(96)00118-x</a>
  bibtex: '@article{Guder_Dellnitz_Kreuzer_1997, title={An adaptive method for the
    approximation of the generalized cell mapping}, DOI={<a href="https://doi.org/10.1016/s0960-0779(96)00118-x">10.1016/s0960-0779(96)00118-x</a>},
    journal={Chaos, Solitons &#38; Fractals}, author={Guder, Rabbijah and Dellnitz,
    Michael and Kreuzer, Edwin}, year={1997}, pages={525–534} }'
  chicago: Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method
    for the Approximation of the Generalized Cell Mapping.” <i>Chaos, Solitons &#38;
    Fractals</i>, 1997, 525–34. <a href="https://doi.org/10.1016/s0960-0779(96)00118-x">https://doi.org/10.1016/s0960-0779(96)00118-x</a>.
  ieee: R. Guder, M. Dellnitz, and E. Kreuzer, “An adaptive method for the approximation
    of the generalized cell mapping,” <i>Chaos, Solitons &#38; Fractals</i>, pp. 525–534,
    1997.
  mla: Guder, Rabbijah, et al. “An Adaptive Method for the Approximation of the Generalized
    Cell Mapping.” <i>Chaos, Solitons &#38; Fractals</i>, 1997, pp. 525–34, doi:<a
    href="https://doi.org/10.1016/s0960-0779(96)00118-x">10.1016/s0960-0779(96)00118-x</a>.
  short: R. Guder, M. Dellnitz, E. Kreuzer, Chaos, Solitons &#38; Fractals (1997)
    525–534.
date_created: 2020-04-16T08:05:37Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1016/s0960-0779(96)00118-x
language:
- iso: eng
page: 525-534
publication: Chaos, Solitons & Fractals
publication_identifier:
  issn:
  - 0960-0779
publication_status: published
status: public
title: An adaptive method for the approximation of the generalized cell mapping
type: journal_article
user_id: '15701'
year: '1997'
...
---
_id: '17015'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Andreas
  full_name: Hohmann, Andreas
  last_name: Hohmann
citation:
  ama: Dellnitz M, Hohmann A. A subdivision algorithm for the computation of unstable
    manifolds and global attractors. <i>Numerische Mathematik</i>. 1997;75:293-317.
    doi:<a href="https://doi.org/10.1007/s002110050240">10.1007/s002110050240</a>
  apa: Dellnitz, M., &#38; Hohmann, A. (1997). A subdivision algorithm for the computation
    of unstable manifolds and global attractors. <i>Numerische Mathematik</i>, <i>75</i>,
    293–317. <a href="https://doi.org/10.1007/s002110050240">https://doi.org/10.1007/s002110050240</a>
  bibtex: '@article{Dellnitz_Hohmann_1997, title={A subdivision algorithm for the
    computation of unstable manifolds and global attractors}, volume={75}, DOI={<a
    href="https://doi.org/10.1007/s002110050240">10.1007/s002110050240</a>}, journal={Numerische
    Mathematik}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1997}, pages={293–317}
    }'
  chicago: 'Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the
    Computation of Unstable Manifolds and Global Attractors.” <i>Numerische Mathematik</i>
    75 (1997): 293–317. <a href="https://doi.org/10.1007/s002110050240">https://doi.org/10.1007/s002110050240</a>.'
  ieee: M. Dellnitz and A. Hohmann, “A subdivision algorithm for the computation of
    unstable manifolds and global attractors,” <i>Numerische Mathematik</i>, vol.
    75, pp. 293–317, 1997.
  mla: Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation
    of Unstable Manifolds and Global Attractors.” <i>Numerische Mathematik</i>, vol.
    75, 1997, pp. 293–317, doi:<a href="https://doi.org/10.1007/s002110050240">10.1007/s002110050240</a>.
  short: M. Dellnitz, A. Hohmann, Numerische Mathematik 75 (1997) 293–317.
date_created: 2020-05-19T09:07:27Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
doi: 10.1007/s002110050240
intvolume: '        75'
language:
- iso: eng
page: 293-317
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
status: public
title: A subdivision algorithm for the computation of unstable manifolds and global
  attractors
type: journal_article
user_id: '32643'
volume: 75
year: '1997'
...
---
_id: '34903'
abstract:
- lang: eng
  text: The software packageKANT V4for computations in algebraic number fields is
    now available in version 4. In addition a new user interface has been released.
    We will outline the features of this new software package.
author:
- first_name: M.
  full_name: DABERKOW, M.
  last_name: DABERKOW
- first_name: C.
  full_name: FIEKER, C.
  last_name: FIEKER
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: M.
  full_name: POHST, M.
  last_name: POHST
- first_name: K.
  full_name: ROEGNER, K.
  last_name: ROEGNER
- first_name: M.
  full_name: SCHÖRNIG, M.
  last_name: SCHÖRNIG
- first_name: K.
  full_name: WILDANGER, K.
  last_name: WILDANGER
citation:
  ama: DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):267-283. doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>
  apa: DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M.,
    &#38; WILDANGER, K. (1997). KANT V4. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4),
    267–283. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>
  bibtex: '@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997,
    title={KANT V4}, volume={24}, DOI={<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER,
    K. and SCHÖRNIG, M. and WILDANGER, K.}, year={1997}, pages={267–283} }'
  chicago: 'DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG,
    and K. WILDANGER. “KANT V4.” <i>Journal of Symbolic Computation</i> 24, no. 3–4
    (1997): 267–83. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>.'
  ieee: 'M. DABERKOW <i>et al.</i>, “KANT V4,” <i>Journal of Symbolic Computation</i>,
    vol. 24, no. 3–4, pp. 267–283, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.'
  mla: DABERKOW, M., et al. “KANT V4.” <i>Journal of Symbolic Computation</i>, vol.
    24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.
  short: M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K.
    WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
date_created: 2022-12-23T10:02:24Z
date_updated: 2023-03-06T09:23:30Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0126
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 267-283
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: KANT V4
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...