From integrability to chaos in a Lotka-Volterra cellular automaton

DOI10.1016/S0375-9601(97)00721-4zbMath0910.58022OpenAlexW2062694629MaRDI QIDQ5906828

Daisuke A. Takahashi, Ryogo Hirota, Basile Grammaticos, Alfred Ramani, M. Iwao, Yasuhiro Ohta

Publication date: 4 November 1997

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00721-4

zbMATH Keywords

cellular automataLotka-Volterra system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Toda-type cellular automaton and its \(N\)-soliton solution

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