A generalization of the Lefschetz fixed point theorem and detection of chaos

DOI10.1090/S0002-9939-99-05467-2zbMath0942.55003OpenAlexW1519287860MaRDI QIDQ4942844

Roman Srzednicki

Publication date: 15 March 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05467-2

zbMATH Keywords

chaotic dynamicshorseshoe maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and coincidences in algebraic topology (55M20) Symbolic dynamics (37B10) Index theory for dynamical systems, Morse-Conley indices (37B30)

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Covering relations for multidimensional dynamical systems ⋮ Chaotic dynamics of the Kepler problem with oscillating singularity ⋮ CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS ⋮ About Chaotic Dynamics in the Twisted Horseshoe Map ⋮ Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps ⋮ Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Circumscribed ellipsoid algorithm for fixed-point problems

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