Heteroclinic turbulence in the Lotka-Volterra reaction diffusion equation

Kenji Orihashi*, Yoji Aizawa

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)267-271
ページ数5
ジャーナルJournal of the Korean Physical Society
50
1 I
出版ステータスPublished - 2007 1月

ASJC Scopus subject areas

  • 物理学および天文学一般

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