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

Fingerprint

Intermittency
intermittency
Chaos theory
Dynamical systems
Tuning
Lyapunov Exponent
exponents
Chaotic Dynamics
Bifurcation Diagram
dynamical systems
chaos
Chaos
Transverse
Dynamical system
diagrams
tuning
occurrences
Fluctuations
Robustness
Character

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Robust and ubiquitous on-off intermittency in active coupling. / Kamiura, Moto; Gunji, Yukio.

In: Physica D: Nonlinear Phenomena, Vol. 218, No. 2, 15.06.2006, p. 122-130.

Research output: Contribution to journalArticle

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