Bifurcations of subharmonic solutions in periodic perturbation of a hyperbolic limit cycle
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Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed. By using a Poincaré map and the method of rescaling a discriminating condition for the existence of subharmonic solutions of order m is obtained. An example is given in the end of the paper.
Key wordsbifurcation subharmonic solution limit cycle
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- HAN Mao-an. Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems[J].Science in China Ser A, 1994,37(11):1152–1160. (in Chinese)Google Scholar
- HAN Mao-an, ZHU De-ming.Bifurcation Theory of Differential Equations[M]. Chapter 9. Beijing: Coal Industry Press, 1994. (in Chinese)Google Scholar