Polygonal approximation of flows

DOI10.1016/j.topol.2006.04.033zbMath1118.37017OpenAlexW2111474755MaRDI QIDQ2643055

Erik M. Boczko, Konstantin Mischaikow, William D. Kalies

Publication date: 23 August 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.04.033

zbMATH Keywords

Conley indexcombinatorial dynamicschain recurrenceflows from ODE's

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Approximation methods and numerical treatment of dynamical systems (37M99) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (13)

An Algorithmic Approach to Lattices and Order in Dynamics ⋮ Combinatorial Vector Field Topology in Three Dimensions ⋮ Discretization strategies for computing Conley indices and Morse decompositions of flows ⋮ Persistence of Conley--Morse Graphs in Combinatorial Dynamical Systems ⋮ Lattice structures for attractors. III ⋮ Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes ⋮ Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces ⋮ Topological horseshoes of traveling waves for a fast-slow predator-prey system ⋮ Lattice structures for attractors. II ⋮ Automatic differentiation for Fourier series and the radii polynomial approach ⋮ Detecting critical regions in multidimensional data sets ⋮ A topological method for finding invariant sets of continuous systems ⋮ Combinatorial vs. classical dynamics: recurrence

Cites Work

• An algorithmic approach to chain recurrence
• Asymptotic behaviour of ground states
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