Distributional chaos via semiconjugacy

DOI10.1088/0951-7715/20/11/010zbMath1131.37017OpenAlexW2070404633MaRDI QIDQ5444861

Paweł Wilczyński, Piotr Oprocha

Publication date: 26 February 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/11/010

zbMATH Keywords

symbolic dynamicsPoincaré maptime periodic nonautonomous differential equation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Topological dynamics of nonautonomous systems (37B55)

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Constant-length substitution systems and countable distributionally scrambled sets ⋮ Substitution systems and the three versions of distributional chaos ⋮ COMPACT SYSTEMS WITH DC3 PAIRS ⋮ Distributional chaos in constant-length substitution systems ⋮ Nested set of periodic segments ⋮ Chaotic dynamics via index maps ⋮ \(A\)-coupled-expanding and distributional chaos ⋮ Minimal systems and distributionally scrambled sets ⋮ Topological entropy for local processes ⋮ Distributional chaos occurring on measure center ⋮ Invariant scrambled sets and distributional chaos ⋮ Distributional chaos and factors ⋮ On variants of distributional chaos in dimension one ⋮ Shift spaces, \(\omega \)-chaos and specification property

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