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Quasi-cycles and sensitive dependence on seed values in edge of chaos behaviour in a class of self-evolving maps

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  • Singh, Brajendra K.
  • Gambhir, Manoj
  • Hu, Chin-Kun

Abstract

In a recent paper [Melby P, Kaidel J, Weber N, Hubler A. Adaptation to the edge of chaos in the self-adjusting logistic map. Phys Rev Lett 2000;84:5991–3], Melby et al. attempted to understand edge of chaos behaviour through a very simple model. Based on our exhaustive numerical experiments, here we show that the model, with the definition of the edge of chaos given in the paper, cannot unequivocally support the idea of adaptation to the edge of chaos, let alone allow a conjecture of its generic presence in systems having the same characteristic features.

Suggested Citation

  • Singh, Brajendra K. & Gambhir, Manoj & Hu, Chin-Kun, 2008. "Quasi-cycles and sensitive dependence on seed values in edge of chaos behaviour in a class of self-evolving maps," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 641-649.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:3:p:641-649
    DOI: 10.1016/j.chaos.2008.02.024
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    1. J. Doyne Farmer, 2002. "Market force, ecology and evolution," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 11(5), pages 895-953, November.
    2. John F. Y. Brookfield, 2001. "Predicting the future," Nature, Nature, vol. 411(6841), pages 999-999, June.
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    Cited by:

    1. Tang, Guangyao & Qin, Wenjie & Tang, Sanyi, 2014. "Complex dynamics and switching transients in periodically forced Filippov prey–predator system," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 13-23.

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