On the Prevalence of Horseshoes

DOI10.2307/1998644zbMath0462.58025OpenAlexW4246916016MaRDI QIDQ3911764

Lai-Sang Young

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998644

zbMATH Keywords

Lorenz attractoraxiom A diffeomorphismsAbraham-Smale examplesapproximating the topological entropy of smooth dynamical systems by the entropy of subsystems which are hyperbolic subshifts of finite typelimit of hyperbolic subshifts of finite typepiecewise smooth and monotonic maps of the interval

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy in general topology (54C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Polynomial entropy for interval maps and lap number, Laminations from the Main Cubioid, The existence of semi-horseshoes for partially hyperbolic diffeomorphisms, Bohr chaoticity of topological dynamical systems, Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations, Ergodic optimization for hyperbolic flows and Lorenz attractors, Unnamed Item, Topological entropy of standard type monotone twist maps, Equilibrium states for a class of skew products, Periodic points and measures for a class of skew-products, On the rate of convergence to equilibrium in one-dimensional systems, Brief survey on the topological entropy

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