Heteroclinic cycles in the repressilator model

A. Kuznetsov and V. Afraimovich

Chaos, Solitons & Fractals, 2012, vol. 45, issue 5, 660-665

Abstract: A repressilator is a synthetic regulatory network that produces self-sustained oscillations. We analyze the evolution of the oscillatory solution in the repressilator model. We have established a connection between the evolution of the oscillatory solution and formation of a heteroclinic cycle at infinity. The convergence of the limit cycle to the heteroclinic cycle occurs very differently compared to the well-studied cases. The transition studied here presents a new bifurcation scenario.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:5:p:660-665

DOI: 10.1016/j.chaos.2012.02.009

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