Perturbations and Hopf bifurcation of the planar discontinuous dynamical system. (English) Zbl 1066.34008
The author obtains results on the behavior of a specific planar discontinuous dynamical system in the neighbourhood of a singular point. A new technique of investigation is presented. Conditions for the existence of foci and centres are presented. In addition, the focus-centre problem and Hopf bifurcation are considered and some appropriate examples are given to illustrate the bifurcation theorem.
Reviewer: Abdolrahman Razani (Qazvin)
MSC:
| 34A36 | Discontinuous ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
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