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Horseshoes in chromosome’s attractors

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  • Huang, Yan
  • Yang, Xiao-Song

Abstract

In this paper, we study dynamics of a class of chromosome’s attractors. We show that these chromosome sequences are chaotic by giving a rigorous verification for existence of horseshoes in these systems. We prove that the Poincaré maps derived from these chromosome’s attractors are semi-conjugate to the 2-shift map, and its entropy is no less than log 2. The chaotic behavior is robust in the following sense: chaos exists when one parameter varies from −5.5148 to −5.4988.

Suggested Citation

  • Huang, Yan & Yang, Xiao-Song, 2007. "Horseshoes in chromosome’s attractors," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1686-1691.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1686-1691
    DOI: 10.1016/j.chaos.2005.11.094
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    References listed on IDEAS

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    1. Nicolay, S. & Brodie of Brodie, E.B. & Touchon, M. & d'Aubenton-Carafa, Y. & Thermes, C. & Arneodo, A., 2004. "From scale invariance to deterministic chaos in DNA sequences: towards a deterministic description of gene organization in the human genome," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 270-280.
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