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| Bifurcations of Invariant Tori and Subharmonic Solutions of Singularly Perturbed System |
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Citation： |
Zhiyong YE,Maoan HAN.Bifurcations of Invariant Tori and Subharmonic Solutions of Singularly Perturbed System[J].Chinese Annals of Mathematics B,2007,28(2):135~148 |
| Page view： 1292
Net amount： 889 |
Authors： |
Zhiyong YE; Maoan HAN |
Foundation： |
the National Natural Science Foundation of China (No. 10671214), the Chongqing Natural Science Foundation of China (No. 2005cc14) and Shanghai Shuguang Genzong Project (No. 04SGG05). |
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| Abstract： |
This paper deals with bifurcations of subharmonic solutions and invariant tori generated from limit cycles in the fast dynamics for a nonautonomous singularly perturbed system. Based on Poincar′e map, a series of blow-up transformations and the theory of integral manifold, the conditions for the existence of invariant tori are obtained, and the saddle-node bifurcations of subharmonic solutions are studied. |
Keywords： |
Singular perturbation, Subharmonic solution, Saddle-Node, Invariant torus |
Classification： |
34A26, 34E15, 34C25, 34C29, 34C45 |
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