Adaptive Set-Oriented Computation of Topological Horseshoe Factors in Area and Volume Preserving Maps

DOI10.1137/090776330zbMath1201.65217OpenAlexW2086276056MaRDI QIDQ3052743

Jason D. Mireles James

Publication date: 2 November 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090776330

zbMATH Keywords

iterative algorithmnumerical examplesconnecting orbitsconservative dynamicsset-oriented numericsarea- and volume preserving diffeomorphismsautomatic chaos verificationhyperbolic fixed and periodic points

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10) Algorithms with automatic result verification (65G20) Index theory for dynamical systems, Morse-Conley indices (37B30) Numerical chaos (65P20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Uses Software

• STL