Distributional chaos in the zero topological entropy subsets of non-dense orbits
DOI10.1007/s10955-024-03360-2MaRDI QIDQ6635294
Wanshan Lin, Xueting Tian, An Chen, Xiaobo Hou
Publication date: 9 November 2024
Published in: Journal of Statistical Physics (Search for Journal in Brave)
shadowing propertymultifractal analysisBirkhoff ergodic averagenondense orbitsnonrecurrent pointsstatistical \(\omega\)-limit setstrongly distributional chaotic
Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)
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