Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation

Kenji Orihashi, Yoji Aizawa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation is studied numerically and theoretically, and the statistical, feature is analyzed precisely in reference to the onset mechanism of the turbulence. First, the bifurcation diagram is demonstrated in detail, and a variety of attractors are discussed. It is emphasized that the diversity of the attractor enhances when the system size increases. Next, the transition from a regular attractor to a turbulent one is characterized by a correlation function, as well as by the Lyapunov exponent, where one can observe the scaling laws clearly for the correlation length and the maximum Lyapunov exponent.

Original languageEnglish
Pages (from-to)267-271
Number of pages5
JournalJournal of the Korean Physical Society
Volume50
Issue number1 I
Publication statusPublished - 2007 Jan

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reaction-diffusion equations
turbulence
exponents
scaling laws
diagrams

Keywords

  • Correlation length
  • Heteroclinicity
  • Lotka-Volterra equation
  • Maximum Lyapunov exponent
  • May-Leonard model
  • Scaling relation
  • Spatio-temporal chaos
  • Turbulence

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation. / Orihashi, Kenji; Aizawa, Yoji.

In: Journal of the Korean Physical Society, Vol. 50, No. 1 I, 01.2007, p. 267-271.

Research output: Contribution to journalArticle

Orihashi, Kenji ; Aizawa, Yoji. / Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation. In: Journal of the Korean Physical Society. 2007 ; Vol. 50, No. 1 I. pp. 267-271.
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