Asymptotically periodic piecewise contractions of the interval

DOI10.1088/0951-7715/27/7/1603zbMath1350.37045arXiv1310.5784OpenAlexW2068799609MaRDI QIDQ2874771

Rafael A. Rosales, Arnaldo Nogueira, Benito Pires

Publication date: 8 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5784

zbMATH Keywords

periodic orbitstopological dynamicsperiodic attractorsinjective interval mapspiecewise contractions

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

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Topological dynamics of piecewise -affine maps ⋮ A switched server system semiconjugate to a minimal interval exchange ⋮ A chaotic discrete-time continuous-state Hopfield network with piecewise-affine activation functions ⋮ Complexity of injective piecewise contracting interval maps ⋮ Asymptotic periodicity in outer billiards with contraction ⋮ Periodic attractor in the discrete time best-response dynamics of the rock-paper-scissors game ⋮ A spectral decomposition of the attractor of piecewise-contracting maps of the interval ⋮ Symbolic dynamics of piecewise contractions ⋮ Switched server systems whose parameters are normal numbers in base 4

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