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Bifurcation from single periodic orbit in discontinuous autonomous systems |
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| Authors: | Michal Fečkan Michal Pospíšil |
| Institution: | 1. Department of Mathematical Analysis and Numerical Mathematics , Comenius University, Mlynská Dolina , 842 48, Bratislava , Slovakia;2. Mathematical Institute, Slovak Academy of Sciences , ?tefánikova 49, 814 73, Bratislava , Slovakia Michal.Feckan@fmph.uniba.sk;4. Mathematical Institute, Slovak Academy of Sciences , ?tefánikova 49, 814 73, Bratislava , Slovakia |
| Abstract: | This article is devoted to the study of bifurcations of periodic solutions for discontinuous autonomous systems from single periodic solutions of unperturbed discontinuous equations. In addition, local asymptotic properties of derived perturbed periodic solutions are also investigated. An example of planar discontinuous ordinary differential equations is given to illustrate the theory. |
| Keywords: | periodic orbit discontinuous systems bifurcation |