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A simple spatiotemporal chaotic Lotka–Volterra model

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  • Sprott, J.C.
  • Wildenberg, J.C.
  • Azizi, Yousef

Abstract

A mathematically simple example of a high-dimensional (many-species) Lotka–Volterra model that exhibits spatiotemporal chaos in one spatial dimension is described. The model consists of a closed ring of identical agents, each competing for fixed finite resources with two of its four nearest neighbors. The model is prototypical of more complicated models in its quasiperiodic route to chaos (including attracting 3-tori), bifurcations, spontaneous symmetry breaking, and spatial pattern formation.

Suggested Citation

  • Sprott, J.C. & Wildenberg, J.C. & Azizi, Yousef, 2005. "A simple spatiotemporal chaotic Lotka–Volterra model," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1035-1043.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1035-1043
    DOI: 10.1016/j.chaos.2005.02.015
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