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Chaos caused by a strong-mixing measure-preserving transformation

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Publication:1368231
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DOI10.1007/BF02874517zbMath0914.54036MaRDI QIDQ1368231

Ercai Chen, Jin Cheng Xiong

Publication date: 21 June 1999

Published in: Science in China. Series A (Search for Journal in Brave)


zbMATH Keywords

finitely chaotic setstrong-mixing measure-preserving transformation


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (5)

Transitivity, mixing and chaos for a class of set-valued mappings ⋮ Chaos in a topologically transitive semi-flow ⋮ Strong mixing subshift of finite type and Hausdorff measure of its chaotic set ⋮ Dependent sets of a family of relations of full measure on a probability space ⋮ The chaotic behavior of a mixing measure-preserving transformation




Cites Work

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  • Dynamics in one dimension
  • Hausdorff dimension of a chaotic set of shift of a symbolic space
  • A Chaotic Function with Some Extremal Properties
  • Period Three Implies Chaos




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