The essential coexistence phenomenon in dynamics

Jianyu Chen, Huyi Hu, Yakov Pesin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


This article is a survey of recent results on the essential coexistence of hyperbolic and non-hyperbolic behaviour in dynamics. Though in the absence of a general theory, the coexistence phenomenon has been shown in various systems during the last three decades. We will describe the contemporary state of the art in this area with emphasis on some new examples in smooth conservative systems, in both cases of discrete and continuous-time.

Original languageEnglish (US)
Pages (from-to)453-472
Number of pages20
JournalDynamical Systems
Issue number3
StatePublished - Sep 1 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Computer Science Applications


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