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Li–Yorke chaos in a spatiotemporal chaotic system

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  • Li, Ping
  • Li, Zhong
  • Halang, Wolfgang A.
  • Chen, Guanrong

Abstract

This paper presents a rigorous proof to the existence of chaos in the sense of Li–Yorke in a spatiotemporal chaotic system, i.e., a coupled map lattice. It therefore lays a theoretical foundation for further study and exploitation of this spatiotemporal chaotic system.

Suggested Citation

  • Li, Ping & Li, Zhong & Halang, Wolfgang A. & Chen, Guanrong, 2007. "Li–Yorke chaos in a spatiotemporal chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 335-341.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:335-341
    DOI: 10.1016/j.chaos.2006.01.077
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    References listed on IDEAS

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    1. Shibata, Hiroshi, 2001. "KS entropy and mean Lyapunov exponent for coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 182-192.
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    Cited by:

    1. Zhang, Lei & Wang, Wenjuan & Xue, Yakui, 2009. "Spatiotemporal complexity of a predator–prey system with constant harvest rate," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 38-46.
    2. Herrera, Ma Dolores Sotelo & Martín, Jesús San, 2009. "An analytical study in coupled map lattices of synchronized states and traveling waves, and of their period-doubling cascades," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 901-910.

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