Spontaneous mode switching in coupled oscillators competing for constant amounts of resources.

Yoshito Hirata, Masashi Aono, Masahiko Hara, Kazuyuki Aihara

Research output: Contribution to journalArticle

Abstract

We propose a widely applicable scheme of coupling that models competitions among dynamical systems for fixed amounts of resources. Two oscillators coupled in this way synchronize in antiphase. Three oscillators coupled circularly show a number of oscillation modes such as rotation and partially in-phase synchronization. Intriguingly, simple oscillators in the model also produce complex behavior such as spontaneous switching among different modes. The dynamics reproduces well the spatiotemporal oscillatory behavior of a true slime mold Physarum, which is capable of computational optimization.

Original languageEnglish
Pages (from-to)13117
Number of pages1
JournalChaos (Woodbury, N.Y.)
Volume20
Issue number1
Publication statusPublished - 2010 Mar
Externally publishedYes

Fingerprint

Coupled Oscillators
resources
oscillators
Competition Model
Phase Synchronization
Resources
Fungi
Synchronization
Dynamical systems
Dynamical system
Oscillation
dynamical systems
Optimization
synchronism
oscillations
optimization
Model

ASJC Scopus subject areas

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

Cite this

Spontaneous mode switching in coupled oscillators competing for constant amounts of resources. / Hirata, Yoshito; Aono, Masashi; Hara, Masahiko; Aihara, Kazuyuki.

In: Chaos (Woodbury, N.Y.), Vol. 20, No. 1, 03.2010, p. 13117.

Research output: Contribution to journalArticle

Hirata, Yoshito ; Aono, Masashi ; Hara, Masahiko ; Aihara, Kazuyuki. / Spontaneous mode switching in coupled oscillators competing for constant amounts of resources. In: Chaos (Woodbury, N.Y.). 2010 ; Vol. 20, No. 1. pp. 13117.
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