Continuation sheaves in dynamics: Sheaf cohomology and bifurcation

Autor: K. Alex Dowling, William D. Kalies, Robert C.A.M. Vandervorst

Publikováno v: Dowling, K A, Kalies, W D & Vandervorst, R C A M 2023, ' Continuation sheaves in dynamics: Sheaf cohomology and bifurcation ', Journal of Differential Equations, vol. 367, pp. 124-198 . https://doi.org/10.1016/j.jde.2023.04.041
Journal of Differential Equations, 367, 124-198. Academic Press Inc.

Algebraic structures such as the lattices of attractors, repellers, and Morse representations provide a computable description of global dynamics. In this paper, a sheaf-theoretic approach to their continuation is developed. The algebraic structures

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https://research.vu.nl/en/publications/697ad782-8e7f-4179-97c0-ce57e2e3f29e