Continuation Sheaves in Dynamics: Sheaf Cohomology and Bifurcation

Autor: Dowling, K.A., Kalies, W D, van der Vorst, RCAM

Publikováno v: arXiv, 1-60. Cornell University
STARTPAGE=1;ENDPAGE=60;ISSN=2331-8422;TITLE=arXiv
Dowling, K A, Kalies, W D & van der Vorst, RCAM 2021, ' Continuation Sheaves in Dynamics: Sheaf Cohomology and Bifurcation ', arXiv, pp. 1-60 . < https://arxiv.org/abs/2102.02198v1 >

Continuation of algebraic structures in families of dynamical systems is described using category theory, sheaves, and lattice algebras. Well-known concepts in dynamics, such as attractors or invariant sets, are formulated as functors on appropriate

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https://arxiv.org/abs/2102.02198v1

Lattice Structures for Attractors III.

Autor: Kalies, W. D., Mischaikow, K., Vandervorst, R. C. A. M.

Publikováno v: Journal of Dynamics & Differential Equations; Sep2022, Vol. 34 Issue 3, p1729-1768, 40p

Erratum: 'Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems' [Comm. Math. Phys. 14 (2000), no. 3, 573--592; MR1800862 (2002g:37086)]

Autor: Kalies, W. D., Kwapisz, J., Van den Berg, Jan Bouwe, Van der Vorst, R. C. A. M.

Publikováno v: Communications in Mathematical Physics, 215(3), 707-728. Springer New York
Kalies, W D, Kwapisz, J, Van den Berg, J B & Van der Vorst, R C A M 2001, ' Erratum: ``Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems'' [Comm. Math. Phys. 14 (2000), no. 3, 573--592; MR1800862 (2002g:37086)] ', Communications in Mathematical Physics, vol. 215, no. 3, pp. 707-728 . https://doi.org/10.1007/s002200000343

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https://research.vu.nl/en/publications/73e0446c-4428-4565-8a7a-dbc1d392f5f6

Homotopy Classes for Stable Connections between Hamiltonian Saddle-Focus Equilibria.

Autor: Kalies, W. D., Kwapisz, J., VanderVorst, R.C.A.M.

Publikováno v: Communications in Mathematical Physics; Apr1998, Vol. 193 Issue 2, p337-371, 35p

Analysis of blood vessel topology by cubical homology

Autor: Niethammer, M., Stein, A. N., Kalies, W. D., Paweł Pilarczyk, Mischaikow, K., Tannenbaum, A.

Publikováno v: Scopus-Elsevier

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