Singular limit cycle bifurcations to closed orbits and invariant tori |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China;2. College of Mathematics and Statistics, Chongqing University, Chongqing, PR China;3. School of Insurance, Shandong University of Finance and Economics, Jinan 250014, PR China |
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| 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. |
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