Subexponential instability in one-dimensional maps implies infinite invariant measure

Takuma Akimoto, Yoji Aizawa

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability.

Original languageEnglish
Article number033110
JournalChaos
Volume20
Issue number3
DOIs
Publication statusPublished - 2010 Jul 13

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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