Singular limit cycle bifurcations to closed orbits and invariant tori

Zhiyong Ye and Maoan Han

Chaos, Solitons & Fractals, 2006, vol. 27, issue 3, 758-767

Abstract: This paper investigates singular limit cycle bifurcations for a singularly perturbed system. Based on a series of transformations (the modified curvilinear coordinate, blow-up, and near-identity transformation) and bifurcation theory of periodic orbits and invariant tori, the bifurcations of closed orbits and invariant tori near singular limit cycles are discussed.

Date: 2006
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:3:p:758-767

DOI: 10.1016/j.chaos.2005.04.046

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