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Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems

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  • Parekh, Nita
  • Ravi Kumar, V.
  • Kulkarni, B.D.

Abstract

Two important classes of spatio-temporal patterns, namely, spatio-temporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The characterization of these patterns has been carried out in terms of Lyapunov exponents and dimension density. The results show a linear scaling as a function of sub-system size for the Lyapunov dimension and entropy while the Lyapunov dimension density was found to rapidly saturate. The possibility of synchronizing the spatio-temporal dynamics by analyzing the conditional Lyapunov exponents of sub-systems was also observed.

Suggested Citation

  • Parekh, Nita & Ravi Kumar, V. & Kulkarni, B.D., 1996. "Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 369-381.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:369-381
    DOI: 10.1016/0378-4371(95)00326-6
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    References listed on IDEAS

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    1. Volker Meinhardt & Dieter Teichmann & Gert Wagner, 1994. ""Bürgergeld": keine Zauberformel," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 61(41), pages 689-696.
    2. Hohenberg, Paul M., 1993. "Time and Order in Metropolitan Vienna: A Seizure of Schedule. By Robert Rotenberg. Washington, DC: Smithsonian Institution Press, 1992. Pp. x, 262. $32.50," The Journal of Economic History, Cambridge University Press, vol. 53(3), pages 668-669, September.
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