Horseshoes in chromosome’s attractors

Yan Huang and Xiao-Song Yang

Chaos, Solitons & Fractals, 2007, vol. 32, issue 5, 1686-1691

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:5:p:1686-1691

DOI: 10.1016/j.chaos.2005.11.094

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