Characterization of intermittency in hierarchy of chaotic maps with invariant measure

Sohrab Behnia, Mohammad Yahyavi

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We introduce a type-I intermittent behavior happening in one-dimensional nonlinear chaotic maps with the interesting property of being ergodic or having stable period-one fixed point. These maps bifurcate from a stable to a chaotic state without having usual period-doubling or period-n-tupling scenarios. The study of the intermittent behavior is expanded via detailed derivation of q-generalized Lyapunov exponents λq in order to study the different types of sensitivity ξt . Finally, the Rényi dimension of a sample map is calculated via numerical methods and its relation with type-I intermittency is discussed.

Original languageEnglish
Article number124008
JournalJournal of the Physical Society of Japan
Volume81
Issue number12
DOIs
Publication statusPublished - 2012 Dec 1

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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