@inproceedings{16525,
  author       = {{Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}},
  booktitle    = {{EQUADIFF 2003}},
  isbn         = {{9789812561695}},
  title        = {{{Towards Automated Chaos Verification}}},
  doi          = {{10.1142/9789812702067_0014}},
  year         = {{2005}},
}

@article{16557,
  abstract     = {{<jats:p> We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This methodology can be applied to a variety of multibody problems, including those in molecular modeling, chemical reaction rates and dynamical astronomy. In this paper we focus on problems in dynamical astronomy to illustrate the power of the combination of these different numerical tools and their applicability. In particular, we compute transport rates between two resonance regions for the three-body system consisting of the Sun, Jupiter and a third body (such as an asteroid). These resonance regions are appropriate for certain comets and asteroids. </jats:p>}},
  author       = {{Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{699--727}},
  title        = {{{Transport in Dynamical Astronomy and Multibody Problems}}},
  doi          = {{10.1142/s0218127405012545}},
  year         = {{2005}},
}

@article{16558,
  author       = {{Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  title        = {{{Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}}},
  doi          = {{10.1103/physrevlett.94.231102}},
  year         = {{2005}},
}

@article{16613,
  author       = {{Grüne, Lars and Junge, Oliver}},
  issn         = {{0167-6911}},
  journal      = {{Systems & Control Letters}},
  pages        = {{169--180}},
  title        = {{{A set oriented approach to optimal feedback stabilization}}},
  doi          = {{10.1016/j.sysconle.2004.08.005}},
  year         = {{2005}},
}

@article{16627,
  abstract     = {{<jats:p> The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global stable or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example — the two-dimensional stable manifold of the origin in the Lorenz system. </jats:p>}},
  author       = {{Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}},
  issn         = {{0218-1274}},
  journal      = {{International Journal of Bifurcation and Chaos}},
  pages        = {{763--791}},
  title        = {{{A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}}},
  doi          = {{10.1142/s0218127405012533}},
  year         = {{2005}},
}

@inproceedings{16628,
  author       = {{Krishnamurthy, A. and Preis, R.}},
  booktitle    = {{19th IEEE International Parallel and Distributed Processing Symposium}},
  isbn         = {{0769523129}},
  title        = {{{Satellite Formation, a Mobile Sensor Network in Space}}},
  doi          = {{10.1109/ipdps.2005.387}},
  year         = {{2005}},
}

@inproceedings{16631,
  author       = {{Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}},
  booktitle    = {{Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}},
  isbn         = {{0780389751}},
  title        = {{{Design and implementation of a hybrid energy supply system for railway vehicles}}},
  doi          = {{10.1109/apec.2005.1452979}},
  year         = {{2005}},
}

@article{16684,
  author       = {{Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}},
  issn         = {{0022-3239}},
  journal      = {{Journal of Optimization Theory and Applications}},
  pages        = {{113--136}},
  title        = {{{Covering Pareto Sets by Multilevel Subdivision Techniques}}},
  doi          = {{10.1007/s10957-004-6468-7}},
  year         = {{2005}},
}

@inbook{51468,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Twenty Years of Bialowieza: A Mathematical Antology}},
  editor       = {{Ali, S.T.}},
  publisher    = {{World Scientific}},
  title        = {{{An Ergodic Arnold-Liouville Theorem for Symmetric Spaces}}},
  year         = {{2005}},
}

@article{51410,
  author       = {{Hilgert, Joachim and Movasati, H. and Mayer, D.}},
  journal      = {{Math. Proc. Camb. Phil. Soc.}},
  pages        = {{81--116}},
  title        = {{{Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions of PSL(2,Z)}}},
  volume       = {{139}},
  year         = {{2005}},
}

@misc{51578,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{JBer. DMV}},
  title        = {{{Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003)}}},
  volume       = {{107}},
  year         = {{2005}},
}

@inbook{54339,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  booktitle    = {{Frontiers and Prospects of Contemporary Applied Mathematics}},
  editor       = {{Li , Tatsien and Zhang, Pingwen}},
  pages        = {{59--70}},
  publisher    = {{Higher Education Press und World Scientific}},
  title        = {{{Optimal order integration on the sphere}}},
  year         = {{2005}},
}

@article{54334,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  pages        = {{81--105}},
  title        = {{{Worst-case errors in a Sobolev space setting for cubature over the sphere S2}}},
  volume       = {{71}},
  year         = {{2005}},
}

@article{54333,
  author       = {{Hesse, Kerstin and H. Sloan, Ian}},
  journal      = {{Journal of Complexity}},
  pages        = {{790--803}},
  title        = {{{Optimal lower bounds for cubature error on the sphere S2}}},
  volume       = {{21}},
  year         = {{2005}},
}

@article{39951,
  author       = {{Rösler, Margit and Rauhut, Holger}},
  issn         = {{0176-4276}},
  journal      = {{Constructive Approximation}},
  keywords     = {{Computational Mathematics, General Mathematics, Analysis}},
  number       = {{2}},
  pages        = {{193--218}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Radial Multiresolution in Dimension Three}}},
  doi          = {{10.1007/s00365-004-0587-0}},
  volume       = {{22}},
  year         = {{2005}},
}

@inproceedings{39949,
  author       = {{Rösler, Margit and VOIT, MICHAEL}},
  booktitle    = {{Infinite Dimensional Harmonic Analysis III}},
  pages        = {{ 249–264}},
  publisher    = {{World Scientific Publ.}},
  title        = {{{Deformations of convolution semigroups on commutative hypergroups}}},
  doi          = {{10.1142/9789812701503_0016}},
  year         = {{2005}},
}

@article{34894,
  abstract     = {{In this Note we give a counter example to a conjecture of Malle which predicts the asymptotic behavior of the counting functions for field extensions with given Galois group and bounded discriminant. }},
  author       = {{Klüners, Jürgen}},
  issn         = {{1631-073X}},
  journal      = {{Comptes Rendus Mathematique}},
  keywords     = {{General Mathematics}},
  number       = {{6}},
  pages        = {{411--414}},
  publisher    = {{Elsevier BV}},
  title        = {{{A counter example to Malle's conjecture on the asymptotics of discriminants}}},
  doi          = {{10.1016/j.crma.2005.02.010}},
  volume       = {{340}},
  year         = {{2005}},
}

@article{34893,
  abstract     = {{Let K be a global field and O be an order of K. We develop algorithms for the computation of the unit group of residue class rings for ideals O in . As an application we show how to compute the unit group and the Picard group of O provided that we are able to compute the unit group and class group of the maximal order O of K.}},
  author       = {{Klüners, Jürgen and Pauli, Sebastian}},
  issn         = {{0021-8693}},
  journal      = {{Journal of Algebra}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{1}},
  pages        = {{47--64}},
  publisher    = {{Elsevier BV}},
  title        = {{{Computing residue class rings and Picard groups of orders}}},
  doi          = {{10.1016/j.jalgebra.2005.04.013}},
  volume       = {{292}},
  year         = {{2005}},
}

@misc{42807,
  author       = {{Klüners, Jürgen}},
  isbn         = {{978-3-8322-4003-5}},
  pages        = {{114}},
  publisher    = {{Shaker Verlag}},
  title        = {{{Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)}}},
  year         = {{2005}},
}

@misc{43455,
  author       = {{Kirschmer, Markus}},
  pages        = {{147}},
  title        = {{{Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)}}},
  year         = {{2005}},
}