Horseshoes in a biochemical attractor

Baohua Li and Yan Huang

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1207-1212

Abstract: In this paper a biochemical system the effect of a coupling between two instability-generating mechanisms is analyzed. The dynamics of the biochemical system is studied to show that the biochemical system is chaotic by giving a rigorous verification for existence of horseshoes in the system. Meanwhile, the Poincaré maps derived from these biochemical system are proved to be semi-conjugate to the 2-shift map, whose entropy is no less than log2.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1207-1212

DOI: 10.1016/j.chaos.2007.08.089

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