From integrability to chaos in a Lotka-Volterra cellular automaton

R. Hirota, M. Iwao, A. Ramani, D. Takahashi, B. Grammaticos, Y. Ohta

研究成果: Article査読

20 被引用数 (Scopus)

抄録

We present a cellular automaton equivalent for the two-dimensional Lotka-Volterra system. The dynamics is studied for integer and rational values of the parameters. In the case of integer parameters the motion is perfectly regular leading to strictly periodic motion. This is still true in the case of rational parameters, but for rational initial conditions the period becomes progressively longer as the denominator of the initial data increases. The motion, in this case, progressively loses its regularity resulting in chaotic behavior in the limit of irrational data.

本文言語English
ページ(範囲)39-44
ページ数6
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
236
1-2
DOI
出版ステータスPublished - 1997 12 1
外部発表はい

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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