Robust and ubiquitous on-off intermittency in active coupling

Moto Kamiura, Yukio Gunji

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

On-off intermittency is an aperiodic switching between synchronized dynamics and non-synchronized, chaotic, dynamics. Intermittency is observed near the onset of chaos on a bifurcation diagram produced by varying the parameters of its coupling strength. Therefore, its occurrence depends upon tuning the parameters of the system in a very sensitive way. In the present paper, a concept of observational heterarchy is reviewed with a simple model, and characters of on-off intermittency derived from active coupling systems (ACS) are investigated. Generally, on-off intermittency results from fluctuation of the local transverse Lyapunov exponent through points of marginal stability. ACS can retain such a character of the Lyapunov exponent by the time evolution of the maps, so on-off intermittency occurs on wider parameter regions. This paper presents a certain approach to the notion of robustness that is regarded as a persistent feature, conceptually different from the strict notion of stability on dynamical systems.

Original languageEnglish
Pages (from-to)122-130
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume218
Issue number2
DOIs
Publication statusPublished - 2006 Jun 15
Externally publishedYes

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Keywords

  • Coupled map system
  • Heterarchy
  • Intermittency
  • Internal measurement
  • Robustness

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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