Spiral waves, chaos and multiple attractors in lattice models of interacting populations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1992 English Publisher:Elsevier BVJournal:Physics Letters A, volume 166, pages 123-128 (issn: 0375-9601,

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Authors: Solé, Ricard V.; Valls, Joaquim; Bascompte, Jordi;

doi: 10.1016/0375-9601(92)90546-x

handle: 10261/44334

Spiral waves, chaos and multiple attractors in lattice models of interacting populations

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Abstract

Stable spatial patterns are shown to appear in a 2D coupled map lattice (CML) approach. The model is constructed from a two-dimensional nonlinear map based on the dynamics of interacting populations. Such structures are mainly spiral waves. Cha otic and periodic dynamics are present for different parameter combinations, as shown by the largest Lyapunov exponent. Mul tiple attractors are present for some range of initial conditions and spiral waves are also present at the chaotic domain of param eters. Implications for ecosystem dynamics are also discussed

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Universitat Politècnica de Catalunya
Spain
University of Barcelona
Spain

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