Discretization strategies for computing Conley indices and Morse decompositions of flows

DOI10.3934/jcd.2016001zbMath1373.37043arXiv1511.04426OpenAlexW2963440743MaRDI QIDQ333770

Konstantin Mischaikow, Marian Mrozek, Frank Weilandt

Publication date: 31 October 2016

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04426

zbMATH Keywords

interval arithmeticConley indexMorse decompositionrigorous numerical algorithm

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Algorithms with automatic result verification (65G20) Index theory for dynamical systems, Morse-Conley indices (37B30) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (5)

Refinements of topological invariants of flows ⋮ An Algorithmic Approach to Lattices and Order in Dynamics ⋮ A Topological Approach to the Algorithmic Computation of the Conley Index for Poincaré Maps ⋮ Global dynamics for steep nonlinearities in two dimensions ⋮ Creating semiflows on simplicial complexes from combinatorial vector fields

Uses Software

• CAPD

Cites Work

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