---
_id: '40205'
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Michael
full_name: Voit, Michael
last_name: Voit
citation:
ama: Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. Journal
of Mathematical Analysis and Applications. 1997;209(2):624-634. doi:10.1006/jmaa.1997.5386
apa: Rösler, M., & Voit, M. (1997). An Uncertainty Principle for Ultraspherical
Expansions. Journal of Mathematical Analysis and Applications, 209(2),
624–634. https://doi.org/10.1006/jmaa.1997.5386
bibtex: '@article{Rösler_Voit_1997, title={An Uncertainty Principle for Ultraspherical
Expansions}, volume={209}, DOI={10.1006/jmaa.1997.5386},
number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier
BV}, author={Rösler, Margit and Voit, Michael}, year={1997}, pages={624–634} }'
chicago: 'Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical
Expansions.” Journal of Mathematical Analysis and Applications 209, no.
2 (1997): 624–34. https://doi.org/10.1006/jmaa.1997.5386.'
ieee: 'M. Rösler and M. Voit, “An Uncertainty Principle for Ultraspherical Expansions,”
Journal of Mathematical Analysis and Applications, vol. 209, no. 2, pp.
624–634, 1997, doi: 10.1006/jmaa.1997.5386.'
mla: Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical
Expansions.” Journal of Mathematical Analysis and Applications, vol. 209,
no. 2, Elsevier BV, 1997, pp. 624–34, doi:10.1006/jmaa.1997.5386.
short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209
(1997) 624–634.
date_created: 2023-01-26T08:38:11Z
date_updated: 2023-01-26T17:40:26Z
department:
- _id: '555'
doi: 10.1006/jmaa.1997.5386
extern: '1'
intvolume: ' 209'
issue: '2'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 624-634
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
issn:
- 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: An Uncertainty Principle for Ultraspherical Expansions
type: journal_article
user_id: '93826'
volume: 209
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. Journal of Symbolic Computation.
1997;24(3-4):267-283. doi:10.1006/jsco.1996.0126
apa: DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M.,
& WILDANGER, K. (1997). KANT V4. Journal of Symbolic Computation, 24(3–4),
267–283. https://doi.org/10.1006/jsco.1996.0126
bibtex: '@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997,
title={KANT V4}, volume={24}, DOI={10.1006/jsco.1996.0126},
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.” Journal of Symbolic Computation 24, no. 3–4
(1997): 267–83. https://doi.org/10.1006/jsco.1996.0126.'
ieee: 'M. DABERKOW et al., “KANT V4,” Journal of Symbolic Computation,
vol. 24, no. 3–4, pp. 267–283, 1997, doi: 10.1006/jsco.1996.0126.'
mla: DABERKOW, M., et al. “KANT V4.” Journal of Symbolic Computation, vol.
24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:10.1006/jsco.1996.0126.
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'
...
---
_id: '34904'
abstract:
- lang: eng
text: The purpose of this article is to determine all subfields ℚ(β) of fixed degree
of a given algebraic number field ℚ(α). It is convenient to describe each subfield
by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial
of β = h(α). The computations are done in unramifiedp-adic extensions and use
information concerning subgroups of the Galois group of the normal closure of
ℚ(α) obtained from the van der Waerden criterion.
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Michael
full_name: Pohst, Michael
last_name: Pohst
citation:
ama: Klüners J, Pohst M. On Computing Subfields. Journal of Symbolic Computation.
1997;24(3-4):385-397. doi:10.1006/jsco.1996.0140
apa: Klüners, J., & Pohst, M. (1997). On Computing Subfields. Journal of
Symbolic Computation, 24(3–4), 385–397. https://doi.org/10.1006/jsco.1996.0140
bibtex: '@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24},
DOI={10.1006/jsco.1996.0140},
number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }'
chicago: 'Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal
of Symbolic Computation 24, no. 3–4 (1997): 385–97. https://doi.org/10.1006/jsco.1996.0140.'
ieee: 'J. Klüners and M. Pohst, “On Computing Subfields,” Journal of Symbolic
Computation, vol. 24, no. 3–4, pp. 385–397, 1997, doi: 10.1006/jsco.1996.0140.'
mla: Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of
Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:10.1006/jsco.1996.0140.
short: J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
date_created: 2022-12-23T10:03:02Z
date_updated: 2023-03-06T10:36:21Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0140
has_accepted_license: '1'
intvolume: ' 24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 385-397
publication: Journal of Symbolic Computation
publication_identifier:
issn:
- 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Computing Subfields
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '42806'
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
citation:
ama: Klüners J. Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
Zahlkörper (Dissertation).; 1997.
apa: Klüners, J. (1997). Über die Berechnung von Automorphismen und Teilkörpern
algebraischer Zahlkörper (Dissertation).
bibtex: '@book{Klüners_1997, place={TU Berlin}, title={Über die Berechnung von Automorphismen
und Teilkörpern algebraischer Zahlkörper (Dissertation)}, author={Klüners, Jürgen},
year={1997} }'
chicago: Klüners, Jürgen. Über Die Berechnung von Automorphismen Und Teilkörpern
Algebraischer Zahlkörper (Dissertation). TU Berlin, 1997.
ieee: J. Klüners, Über die Berechnung von Automorphismen und Teilkörpern algebraischer
Zahlkörper (Dissertation). TU Berlin, 1997.
mla: Klüners, Jürgen. Über Die Berechnung von Automorphismen Und Teilkörpern
Algebraischer Zahlkörper (Dissertation). 1997.
short: J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
Zahlkörper (Dissertation), TU Berlin, 1997.
date_created: 2023-03-07T09:00:38Z
date_updated: 2023-03-07T09:24:39Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '93'
place: TU Berlin
related_material:
link:
- relation: confirmation
url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diss.pdf
status: public
title: Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper
(Dissertation)
type: dissertation
user_id: '93826'
year: '1997'
...
---
_id: '16533'
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. The Computation of Unstable Manifolds Using Subdivision
and Continuation. In: Nonlinear Dynamical Systems and Chaos. Basel; 1996.
doi:10.1007/978-3-0348-7518-9_21'
apa: Dellnitz, M., & Hohmann, A. (1996). The Computation of Unstable Manifolds
Using Subdivision and Continuation. In Nonlinear Dynamical Systems and Chaos.
Basel. https://doi.org/10.1007/978-3-0348-7518-9_21
bibtex: '@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of
Unstable Manifolds Using Subdivision and Continuation}, DOI={10.1007/978-3-0348-7518-9_21},
booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and
Hohmann, Andreas}, year={1996} }'
chicago: Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds
Using Subdivision and Continuation.” In Nonlinear Dynamical Systems and Chaos.
Basel, 1996. https://doi.org/10.1007/978-3-0348-7518-9_21.
ieee: M. Dellnitz and A. Hohmann, “The Computation of Unstable Manifolds Using Subdivision
and Continuation,” in Nonlinear Dynamical Systems and Chaos, Basel, 1996.
mla: Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds
Using Subdivision and Continuation.” Nonlinear Dynamical Systems and Chaos,
1996, doi:10.1007/978-3-0348-7518-9_21.
short: 'M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel,
1996.'
date_created: 2020-04-15T08:27:35Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-0348-7518-9_21
language:
- iso: eng
place: Basel
publication: Nonlinear Dynamical Systems and Chaos
publication_identifier:
isbn:
- '9783034875202'
- '9783034875189'
publication_status: published
status: public
title: The Computation of Unstable Manifolds Using Subdivision and Continuation
type: book_chapter
user_id: '15701'
year: '1996'
...
---
_id: '51429'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: K.-H.
full_name: Neeb, K.-H.
last_name: Neeb
- first_name: B.
full_name: Orsted, B.
last_name: Orsted
citation:
ama: 'Hilgert J, Neeb K-H, Orsted B. Unitary Highest Weight Representations via
the Orbit Method I: The Scalar Case. Acta Appl. Math. 1996;44:151-184.'
apa: 'Hilgert, J., Neeb, K.-H., & Orsted, B. (1996). Unitary Highest Weight
Representations via the Orbit Method I: The Scalar Case. Acta Appl.. Math.,
44, 151–184.'
bibtex: '@article{Hilgert_Neeb_Orsted_1996, title={Unitary Highest Weight Representations
via the Orbit Method I: The Scalar Case}, volume={44}, journal={Acta Appl.. Math.},
author={Hilgert, Joachim and Neeb, K.-H. and Orsted, B.}, year={1996}, pages={151–184}
}'
chicago: 'Hilgert, Joachim, K.-H. Neeb, and B. Orsted. “Unitary Highest Weight Representations
via the Orbit Method I: The Scalar Case.” Acta Appl.. Math. 44 (1996):
151–84.'
ieee: 'J. Hilgert, K.-H. Neeb, and B. Orsted, “Unitary Highest Weight Representations
via the Orbit Method I: The Scalar Case,” Acta Appl.. Math., vol. 44,
pp. 151–184, 1996.'
mla: 'Hilgert, Joachim, et al. “Unitary Highest Weight Representations via the Orbit
Method I: The Scalar Case.” Acta Appl.. Math., vol. 44, 1996, pp. 151–84.'
short: J. Hilgert, K.-H. Neeb, B. Orsted, Acta Appl.. Math. 44 (1996) 151–184.
date_created: 2024-02-19T07:21:56Z
date_updated: 2024-02-20T13:32:20Z
department:
- _id: '91'
extern: '1'
intvolume: ' 44'
language:
- iso: eng
page: 151-184
publication: Acta Appl.. Math.
publication_status: published
status: public
title: 'Unitary Highest Weight Representations via the Orbit Method I: The Scalar
Case'
type: journal_article
user_id: '49063'
volume: 44
year: '1996'
...
---
_id: '51430'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: K.-H.
full_name: Neeb, K.-H.
last_name: Neeb
- first_name: B.
full_name: Orsted, B.
last_name: Orsted
citation:
ama: Hilgert J, Neeb K-H, Orsted B. Conal Heisenberg Algebras and Associated Hilbert
Spaces. J reine angew Math. 1996;474:67-112.
apa: Hilgert, J., Neeb, K.-H., & Orsted, B. (1996). Conal Heisenberg Algebras
and Associated Hilbert Spaces. J. Reine Angew. Math., 474, 67–112.
bibtex: '@article{Hilgert_Neeb_Orsted_1996, title={Conal Heisenberg Algebras and
Associated Hilbert Spaces}, volume={474}, journal={J. reine angew. Math.}, author={Hilgert,
Joachim and Neeb, K.-H. and Orsted, B.}, year={1996}, pages={67–112} }'
chicago: 'Hilgert, Joachim, K.-H. Neeb, and B. Orsted. “Conal Heisenberg Algebras
and Associated Hilbert Spaces.” J. Reine Angew. Math. 474 (1996): 67–112.'
ieee: J. Hilgert, K.-H. Neeb, and B. Orsted, “Conal Heisenberg Algebras and Associated
Hilbert Spaces,” J. reine angew. Math., vol. 474, pp. 67–112, 1996.
mla: Hilgert, Joachim, et al. “Conal Heisenberg Algebras and Associated Hilbert
Spaces.” J. Reine Angew. Math., vol. 474, 1996, pp. 67–112.
short: J. Hilgert, K.-H. Neeb, B. Orsted, J. Reine Angew. Math. 474 (1996) 67–112.
date_created: 2024-02-19T07:22:46Z
date_updated: 2024-02-20T13:32:15Z
department:
- _id: '91'
extern: '1'
intvolume: ' 474'
language:
- iso: eng
page: 67-112
publication: J. reine angew. Math.
publication_status: published
status: public
title: Conal Heisenberg Algebras and Associated Hilbert Spaces
type: journal_article
user_id: '49063'
volume: 474
year: '1996'
...
---
_id: '51431'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: K.-H.
full_name: Neeb, K.-H.
last_name: Neeb
citation:
ama: Hilgert J, Neeb K-H. Orthogonal Lie Algrebras with Cone Potential. Commun
in Alg. 1996;24:433-444.
apa: Hilgert, J., & Neeb, K.-H. (1996). Orthogonal Lie Algrebras with Cone Potential.
Commun. in Alg., 24, 433–444.
bibtex: '@article{Hilgert_Neeb_1996, title={Orthogonal Lie Algrebras with Cone Potential},
volume={24}, journal={Commun. in Alg.}, author={Hilgert, Joachim and Neeb, K.-H.},
year={1996}, pages={433–444} }'
chicago: 'Hilgert, Joachim, and K.-H. Neeb. “Orthogonal Lie Algrebras with Cone
Potential.” Commun. in Alg. 24 (1996): 433–44.'
ieee: J. Hilgert and K.-H. Neeb, “Orthogonal Lie Algrebras with Cone Potential,”
Commun. in Alg., vol. 24, pp. 433–444, 1996.
mla: Hilgert, Joachim, and K. H. Neeb. “Orthogonal Lie Algrebras with Cone Potential.”
Commun. in Alg., vol. 24, 1996, pp. 433–44.
short: J. Hilgert, K.-H. Neeb, Commun. in Alg. 24 (1996) 433–444.
date_created: 2024-02-19T07:23:45Z
date_updated: 2024-02-20T13:32:12Z
department:
- _id: '91'
extern: '1'
intvolume: ' 24'
language:
- iso: eng
page: 433-444
publication: Commun. in Alg.
publication_status: published
status: public
title: Orthogonal Lie Algrebras with Cone Potential
type: journal_article
user_id: '49063'
volume: 24
year: '1996'
...
---
_id: '51428'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: K.-H.
full_name: Neeb, K.-H.
last_name: Neeb
citation:
ama: Hilgert J, Neeb K-H. Spherical Functions on Olshanskii Spaces. J Funct Anal.
1996;142:446-493.
apa: Hilgert, J., & Neeb, K.-H. (1996). Spherical Functions on Olshanskii Spaces.
J. Funct. Anal., 142, 446–493.
bibtex: '@article{Hilgert_Neeb_1996, title={Spherical Functions on Olshanskii Spaces},
volume={142}, journal={J. Funct. Anal.}, author={Hilgert, Joachim and Neeb, K.-H.},
year={1996}, pages={446–493} }'
chicago: 'Hilgert, Joachim, and K.-H. Neeb. “Spherical Functions on Olshanskii Spaces.”
J. Funct. Anal. 142 (1996): 446–93.'
ieee: J. Hilgert and K.-H. Neeb, “Spherical Functions on Olshanskii Spaces,” J.
Funct. Anal., vol. 142, pp. 446–493, 1996.
mla: Hilgert, Joachim, and K. H. Neeb. “Spherical Functions on Olshanskii Spaces.”
J. Funct. Anal., vol. 142, 1996, pp. 446–93.
short: J. Hilgert, K.-H. Neeb, J. Funct. Anal. 142 (1996) 446–493.
date_created: 2024-02-19T07:21:03Z
date_updated: 2024-02-20T13:32:17Z
department:
- _id: '91'
extern: '1'
intvolume: ' 142'
language:
- iso: eng
page: 446-493
publication: J. Funct. Anal.
publication_status: published
status: public
title: Spherical Functions on Olshanskii Spaces
type: journal_article
user_id: '49063'
volume: 142
year: '1996'
...
---
_id: '51597'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Hilgert J. Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston,
1996). Zentralblatt für Math. Published online 1996.
apa: Hilgert, J. (1996). Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser,
Boston, 1996). In Zentralblatt für Math.
bibtex: '@article{Hilgert_1996, title={Knapp, A.W. Lie Groups Beyond an Introduction
(Birkhäuser, Boston, 1996)}, journal={Zentralblatt für Math.}, author={Hilgert,
Joachim}, year={1996} }'
chicago: Hilgert, Joachim. “Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser,
Boston, 1996).” Zentralblatt Für Math., 1996.
ieee: J. Hilgert, “Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston,
1996),” Zentralblatt für Math. 1996.
mla: Hilgert, Joachim. “Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser,
Boston, 1996).” Zentralblatt Für Math., 1996.
short: J. Hilgert, Zentralblatt Für Math. (1996).
date_created: 2024-02-20T13:40:21Z
date_updated: 2024-02-20T13:40:25Z
department:
- _id: '91'
extern: '1'
language:
- iso: eng
publication: Zentralblatt für Math.
publication_status: published
status: public
title: Knapp, A.W. Lie Groups Beyond an Introduction (Birkhäuser, Boston, 1996)
type: review
user_id: '49063'
year: '1996'
...
---
_id: '44544'
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
citation:
ama: Burban I. Euler’s theorem and map color problems. U sviti Mathematyky.
1996;2(2).
apa: Burban, I. (1996). Euler’s theorem and map color problems. U Sviti Mathematyky,
2(2).
bibtex: '@article{Burban_1996, title={Euler’s theorem and map color problems}, volume={2},
number={2}, journal={U sviti Mathematyky}, author={Burban, Igor}, year={1996}
}'
chicago: Burban, Igor. “Euler’s Theorem and Map Color Problems.” U Sviti Mathematyky
2, no. 2 (1996).
ieee: I. Burban, “Euler’s theorem and map color problems,” U sviti Mathematyky,
vol. 2, no. 2, 1996.
mla: Burban, Igor. “Euler’s Theorem and Map Color Problems.” U Sviti Mathematyky,
vol. 2, no. 2, 1996.
short: I. Burban, U Sviti Mathematyky 2 (1996).
date_created: 2023-05-07T01:03:07Z
date_updated: 2023-05-07T01:35:38Z
department:
- _id: '602'
extern: '1'
intvolume: ' 2'
issue: '2'
language:
- iso: eng
publication: U sviti Mathematyky
publication_status: published
status: public
title: Euler’s theorem and map color problems
type: journal_article
user_id: '49063'
volume: 2
year: '1996'
...
---
_id: '44543'
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
citation:
ama: Burban I. Solutions of equations in integers. U sviti Mathematyky. 1996;2(4).
apa: Burban, I. (1996). Solutions of equations in integers. U Sviti Mathematyky,
2(4).
bibtex: '@article{Burban_1996, title={Solutions of equations in integers}, volume={2},
number={4}, journal={U sviti Mathematyky}, author={Burban, Igor}, year={1996}
}'
chicago: Burban, Igor. “Solutions of Equations in Integers.” U Sviti Mathematyky
2, no. 4 (1996).
ieee: I. Burban, “Solutions of equations in integers,” U sviti Mathematyky,
vol. 2, no. 4, 1996.
mla: Burban, Igor. “Solutions of Equations in Integers.” U Sviti Mathematyky,
vol. 2, no. 4, 1996.
short: I. Burban, U Sviti Mathematyky 2 (1996).
date_created: 2023-05-07T01:02:11Z
date_updated: 2023-05-07T01:36:26Z
department:
- _id: '602'
extern: '1'
intvolume: ' 2'
issue: '4'
language:
- iso: eng
publication: U sviti Mathematyky
publication_status: published
status: public
title: Solutions of equations in integers
type: journal_article
user_id: '49063'
volume: 2
year: '1996'
...
---
_id: '64730'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Haar measure on linear groups over local skew fields. Journal
of Lie Theory. 1996;6(2):165–177.
apa: Glöckner, H. (1996). Haar measure on linear groups over local skew fields.
Journal of Lie Theory, 6(2), 165–177.
bibtex: '@article{Glöckner_1996, title={Haar measure on linear groups over local
skew fields}, volume={6}, number={2}, journal={Journal of Lie Theory}, author={Glöckner,
Helge}, year={1996}, pages={165–177} }'
chicago: 'Glöckner, Helge. “Haar Measure on Linear Groups over Local Skew Fields.”
Journal of Lie Theory 6, no. 2 (1996): 165–177.'
ieee: H. Glöckner, “Haar measure on linear groups over local skew fields,” Journal
of Lie Theory, vol. 6, no. 2, pp. 165–177, 1996.
mla: Glöckner, Helge. “Haar Measure on Linear Groups over Local Skew Fields.” Journal
of Lie Theory, vol. 6, no. 2, 1996, pp. 165–177.
short: H. Glöckner, Journal of Lie Theory 6 (1996) 165–177.
date_created: 2026-02-26T13:33:20Z
date_updated: 2026-02-27T07:36:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
intvolume: ' 6'
issue: '2'
keyword:
- '22E35'
- '22E50'
- 28C10
language:
- iso: eng
page: 165–177
publication: Journal of Lie Theory
publication_identifier:
issn:
- 0949-5932
quality_controlled: '1'
status: public
title: Haar measure on linear groups over local skew fields
type: journal_article
user_id: '178'
volume: 6
year: '1996'
...
---
_id: '16510'
abstract:
- lang: eng
text: In an array of coupled oscillators, synchronous chaos may occur in
the sense that all the oscillators behave identically although the corresponding
motion is chaotic. When a parameter is varied this fully symmetric dynamical state
can lose its stability, and the main purpose of this paper is to investigate which
type of dynamical behavior is expected to be observed once the loss of stability
has occurred. The essential tool is a classification of Lyapunov exponents based
on the symmetry of the underlying problem. This classification is crucial in the
derivation of the analytical results but it also allows an efficient computation
of the dominant Lyapunov exponent associated with each symmetry type. We show
how these dominant exponents determine the stability of invariant sets possessing
various instantaneous symmetries, and this leads to the idea of symmetry breaking
bifurcations of chaotic attractors. Finally, the results and ideas are illustrated
for several systems of coupled oscillators.
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. Symmetry Breaking Bifurcations of Chaotic Attractors.
International Journal of Bifurcation and Chaos. 1995:1643-1676. doi:10.1142/s021812749500123x
apa: Aston, P. J., & Dellnitz, M. (1995). Symmetry Breaking Bifurcations of
Chaotic Attractors. International Journal of Bifurcation and Chaos, 1643–1676.
https://doi.org/10.1142/s021812749500123x
bibtex: '@article{Aston_Dellnitz_1995, title={Symmetry Breaking Bifurcations of
Chaotic Attractors}, DOI={10.1142/s021812749500123x},
journal={International Journal of Bifurcation and Chaos}, author={Aston, Philip
J. and Dellnitz, Michael}, year={1995}, pages={1643–1676} }'
chicago: Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations
of Chaotic Attractors.” International Journal of Bifurcation and Chaos,
1995, 1643–76. https://doi.org/10.1142/s021812749500123x.
ieee: P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,”
International Journal of Bifurcation and Chaos, pp. 1643–1676, 1995.
mla: Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of
Chaotic Attractors.” International Journal of Bifurcation and Chaos, 1995,
pp. 1643–76, doi:10.1142/s021812749500123x.
short: P.J. Aston, M. Dellnitz, International Journal of Bifurcation and Chaos (1995)
1643–1676.
date_created: 2020-04-15T07:23:50Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s021812749500123x
language:
- iso: eng
page: 1643-1676
publication: International Journal of Bifurcation and Chaos
publication_identifier:
issn:
- 0218-1274
- 1793-6551
publication_status: published
status: public
title: Symmetry Breaking Bifurcations of Chaotic Attractors
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16532'
author:
- first_name: M
full_name: Dellnitz, M
last_name: Dellnitz
- first_name: C
full_name: Heinrich, C
last_name: Heinrich
citation:
ama: Dellnitz M, Heinrich C. Admissible symmetry increasing bifurcations. Nonlinearity.
1995:1039-1066. doi:10.1088/0951-7715/8/6/009
apa: Dellnitz, M., & Heinrich, C. (1995). Admissible symmetry increasing bifurcations.
Nonlinearity, 1039–1066. https://doi.org/10.1088/0951-7715/8/6/009
bibtex: '@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing
bifurcations}, DOI={10.1088/0951-7715/8/6/009},
journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066}
}'
chicago: Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.”
Nonlinearity, 1995, 1039–66. https://doi.org/10.1088/0951-7715/8/6/009.
ieee: M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,”
Nonlinearity, pp. 1039–1066, 1995.
mla: Dellnitz, M., and C. Heinrich. “Admissible Symmetry Increasing Bifurcations.”
Nonlinearity, 1995, pp. 1039–66, doi:10.1088/0951-7715/8/6/009.
short: M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066.
date_created: 2020-04-15T08:25:12Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/8/6/009
language:
- iso: eng
page: 1039-1066
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
status: public
title: Admissible symmetry increasing bifurcations
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16542'
author:
- first_name: M
full_name: Dellnitz, M
last_name: Dellnitz
- first_name: I
full_name: Melbourne, I
last_name: Melbourne
citation:
ama: Dellnitz M, Melbourne I. A note on the shadowing lemma and symmetric periodic
points. Nonlinearity. 1995:1067-1075. doi:10.1088/0951-7715/8/6/010
apa: Dellnitz, M., & Melbourne, I. (1995). A note on the shadowing lemma and
symmetric periodic points. Nonlinearity, 1067–1075. https://doi.org/10.1088/0951-7715/8/6/010
bibtex: '@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma
and symmetric periodic points}, DOI={10.1088/0951-7715/8/6/010},
journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075}
}'
chicago: Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric
Periodic Points.” Nonlinearity, 1995, 1067–75. https://doi.org/10.1088/0951-7715/8/6/010.
ieee: M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric
periodic points,” Nonlinearity, pp. 1067–1075, 1995.
mla: Dellnitz, M., and I. Melbourne. “A Note on the Shadowing Lemma and Symmetric
Periodic Points.” Nonlinearity, 1995, pp. 1067–75, doi:10.1088/0951-7715/8/6/010.
short: M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075.
date_created: 2020-04-15T08:46:30Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/8/6/010
language:
- iso: eng
page: 1067-1075
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
status: public
title: A note on the shadowing lemma and symmetric periodic points
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16550'
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Michael
full_name: Field, Michael
last_name: Field
- first_name: Martin
full_name: Golubitsky, Martin
last_name: Golubitsky
- first_name: Jun
full_name: Ma, Jun
last_name: Ma
- first_name: Andreas
full_name: Hohmann, Andreas
last_name: Hohmann
citation:
ama: Dellnitz M, Field M, Golubitsky M, Ma J, Hohmann A. Cycling Chaos. International
Journal of Bifurcation and Chaos. 1995:1243-1247. doi:10.1142/s0218127495000909
apa: Dellnitz, M., Field, M., Golubitsky, M., Ma, J., & Hohmann, A. (1995).
Cycling Chaos. International Journal of Bifurcation and Chaos, 1243–1247.
https://doi.org/10.1142/s0218127495000909
bibtex: '@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos},
DOI={10.1142/s0218127495000909},
journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995},
pages={1243–1247} }'
chicago: Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas
Hohmann. “Cycling Chaos.” International Journal of Bifurcation and Chaos,
1995, 1243–47. https://doi.org/10.1142/s0218127495000909.
ieee: M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,”
International Journal of Bifurcation and Chaos, pp. 1243–1247, 1995.
mla: Dellnitz, Michael, et al. “Cycling Chaos.” International Journal of Bifurcation
and Chaos, 1995, pp. 1243–47, doi:10.1142/s0218127495000909.
short: M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal
of Bifurcation and Chaos (1995) 1243–1247.
date_created: 2020-04-15T09:04:16Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127495000909
language:
- iso: eng
page: 1243-1247
publication: International Journal of Bifurcation and Chaos
publication_identifier:
issn:
- 0218-1274
- 1793-6551
publication_status: published
status: public
title: Cycling Chaos
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16551'
abstract:
- lang: eng
text: Spiral patterns have been observed experimentally, numerically, and
theoretically in a variety of systems. It is often believed that these spiral
wave patterns can occur only in systems of reaction–diffusion equations. We show,
both theoretically (using Hopf bifurcation techniques) and numerically (using
both direct simulation and continuation of rotating waves) that spiral wave patterns
can appear in a single reaction–diffusion equation [ in u(x, t)] on a disk, if
one assumes "spiral" boundary conditions (ur = muθ).
Spiral boundary conditions are motivated by assuming that a solution is infinitesimally
an Archimedian spiral near the boundary. It follows from a bifurcation analysis
that for this form of spirals there are no singularities in the spiral pattern
(technically there is no spiral tip) and that at bifurcation there is a steep
gradient between the "red" and "blue" arms of the spiral.
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Martin
full_name: Golubitsky, Martin
last_name: Golubitsky
- first_name: Andreas
full_name: Hohmann, Andreas
last_name: Hohmann
- first_name: Ian
full_name: Stewart, Ian
last_name: Stewart
citation:
ama: Dellnitz M, Golubitsky M, Hohmann A, Stewart I. Spirals in Scalar Reaction–Diffusion
Equations. International Journal of Bifurcation and Chaos. 1995:1487-1501.
doi:10.1142/s0218127495001149
apa: Dellnitz, M., Golubitsky, M., Hohmann, A., & Stewart, I. (1995). Spirals
in Scalar Reaction–Diffusion Equations. International Journal of Bifurcation
and Chaos, 1487–1501. https://doi.org/10.1142/s0218127495001149
bibtex: '@article{Dellnitz_Golubitsky_Hohmann_Stewart_1995, title={Spirals in Scalar
Reaction–Diffusion Equations}, DOI={10.1142/s0218127495001149},
journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}, year={1995}, pages={1487–1501}
}'
chicago: Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart.
“Spirals in Scalar Reaction–Diffusion Equations.” International Journal of
Bifurcation and Chaos, 1995, 1487–1501. https://doi.org/10.1142/s0218127495001149.
ieee: M. Dellnitz, M. Golubitsky, A. Hohmann, and I. Stewart, “Spirals in Scalar
Reaction–Diffusion Equations,” International Journal of Bifurcation and Chaos,
pp. 1487–1501, 1995.
mla: Dellnitz, Michael, et al. “Spirals in Scalar Reaction–Diffusion Equations.”
International Journal of Bifurcation and Chaos, 1995, pp. 1487–501, doi:10.1142/s0218127495001149.
short: M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart, International Journal
of Bifurcation and Chaos (1995) 1487–1501.
date_created: 2020-04-15T09:05:30Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127495001149
language:
- iso: eng
page: 1487-1501
publication: International Journal of Bifurcation and Chaos
publication_identifier:
issn:
- 0218-1274
- 1793-6551
publication_status: published
status: public
title: Spirals in Scalar Reaction–Diffusion Equations
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16611'
author:
- first_name: Martin
full_name: Golubitsky, Martin
last_name: Golubitsky
- first_name: Jerrold
full_name: Marsden, Jerrold
last_name: Marsden
- first_name: Ian
full_name: Stewart, Ian
last_name: Stewart
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: 'Golubitsky M, Marsden J, Stewart I, Dellnitz M. The constrained Liapunov-Schmidt
procedure and periodic orbits. In: Normal Forms and Homoclinic Chaos. Providence,
Rhode Island; 1995. doi:10.1090/fic/004/05'
apa: Golubitsky, M., Marsden, J., Stewart, I., & Dellnitz, M. (1995). The constrained
Liapunov-Schmidt procedure and periodic orbits. In Normal Forms and Homoclinic
Chaos. Providence, Rhode Island. https://doi.org/10.1090/fic/004/05
bibtex: '@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode
Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits},
DOI={10.1090/fic/004/05}, booktitle={Normal
Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and
Stewart, Ian and Dellnitz, Michael}, year={1995} }'
chicago: Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz.
“The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In Normal
Forms and Homoclinic Chaos. Providence, Rhode Island, 1995. https://doi.org/10.1090/fic/004/05.
ieee: M. Golubitsky, J. Marsden, I. Stewart, and M. Dellnitz, “The constrained Liapunov-Schmidt
procedure and periodic orbits,” in Normal Forms and Homoclinic Chaos, Providence,
Rhode Island, 1995.
mla: Golubitsky, Martin, et al. “The Constrained Liapunov-Schmidt Procedure and
Periodic Orbits.” Normal Forms and Homoclinic Chaos, 1995, doi:10.1090/fic/004/05.
short: 'M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and
Homoclinic Chaos, Providence, Rhode Island, 1995.'
date_created: 2020-04-16T08:02:13Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1090/fic/004/05
language:
- iso: eng
place: Providence, Rhode Island
publication: Normal Forms and Homoclinic Chaos
publication_identifier:
isbn:
- '9780821803264'
- '9781470429720'
publication_status: published
status: public
title: The constrained Liapunov-Schmidt procedure and periodic orbits
type: book_chapter
user_id: '15701'
year: '1995'
...
---
_id: '51479'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. The Halfspace Method for Causal Structures on Homogeneous Manifolds.
In: Hofmann KH, Lawson JD, Vinberg EB, eds. Semigroups in Algebra, Geometry
and Analysis. De Gruyter; 1995.'
apa: Hilgert, J. (1995). The Halfspace Method for Causal Structures on Homogeneous
Manifolds. In K. H. Hofmann, J. D. Lawson, & E. B. Vinberg (Eds.), Semigroups
in Algebra, Geometry and Analysis. De Gruyter.
bibtex: '@inbook{Hilgert_1995, place={Berlin}, title={The Halfspace Method for Causal
Structures on Homogeneous Manifolds}, booktitle={Semigroups in Algebra, Geometry
and Analysis}, publisher={De Gruyter}, author={Hilgert, Joachim}, editor={Hofmann,
K.H. and Lawson, J.D. and Vinberg, E.B.}, year={1995} }'
chicago: 'Hilgert, Joachim. “The Halfspace Method for Causal Structures on Homogeneous
Manifolds.” In Semigroups in Algebra, Geometry and Analysis, edited by
K.H. Hofmann, J.D. Lawson, and E.B. Vinberg. Berlin: De Gruyter, 1995.'
ieee: 'J. Hilgert, “The Halfspace Method for Causal Structures on Homogeneous Manifolds,”
in Semigroups in Algebra, Geometry and Analysis, K. H. Hofmann, J. D. Lawson,
and E. B. Vinberg, Eds. Berlin: De Gruyter, 1995.'
mla: Hilgert, Joachim. “The Halfspace Method for Causal Structures on Homogeneous
Manifolds.” Semigroups in Algebra, Geometry and Analysis, edited by K.H.
Hofmann et al., De Gruyter, 1995.
short: 'J. Hilgert, in: K.H. Hofmann, J.D. Lawson, E.B. Vinberg (Eds.), Semigroups
in Algebra, Geometry and Analysis, De Gruyter, Berlin, 1995.'
date_created: 2024-02-19T10:03:44Z
date_updated: 2024-02-20T13:32:27Z
department:
- _id: '91'
editor:
- first_name: K.H.
full_name: Hofmann, K.H.
last_name: Hofmann
- first_name: J.D.
full_name: Lawson, J.D.
last_name: Lawson
- first_name: E.B.
full_name: Vinberg, E.B.
last_name: Vinberg
extern: '1'
language:
- iso: eng
place: Berlin
publication: Semigroups in Algebra, Geometry and Analysis
publication_status: published
publisher: De Gruyter
status: public
title: The Halfspace Method for Causal Structures on Homogeneous Manifolds
type: book_chapter
user_id: '49063'
year: '1995'
...