Description

Book Synopsis
Surveys the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. Some of the more recent developments in the field, such as distributional chaos, the relation between entropy and Li-Yorke chaos, sequence entropy, and maps with infinitely many branches are presented in book form for the first time.

Table of Contents
  • Notation and basic tools
  • Links between transitivity, mixing and sensitivity
  • Periodic points
  • Topological entropy
  • Chaos in the sense of Li-Yorke, scrambled sets
  • Other notions related to Li-Yorke pairs: Generic and dense chaos, distributional chaos
  • Chaotic subsystems
  • Appendix: Some background in topology
  • Bibliography
  • Notation
  • Index

Chaos on the Interval

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    A Paperback by Sylvie Ruette

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 30/04/2017
      ISBN13: 9781470429560, 978-1470429560
      ISBN10:

      Description

      Book Synopsis
      Surveys the relations between the various kinds of chaos and related notions for continuous interval maps from a topological point of view. Some of the more recent developments in the field, such as distributional chaos, the relation between entropy and Li-Yorke chaos, sequence entropy, and maps with infinitely many branches are presented in book form for the first time.

      Table of Contents
      • Notation and basic tools
      • Links between transitivity, mixing and sensitivity
      • Periodic points
      • Topological entropy
      • Chaos in the sense of Li-Yorke, scrambled sets
      • Other notions related to Li-Yorke pairs: Generic and dense chaos, distributional chaos
      • Chaotic subsystems
      • Appendix: Some background in topology
      • Bibliography
      • Notation
      • Index

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