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Limit cycle bifurcations of planar piecewise differential systems with three zones |
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| Institution: | 1. The Institute of Mathematics, Anhui Normal University, Wuhu 241000, PR China;2. Faculty of Electrical Engineering and Computer Science, University of Maribor, Smetanova 17, Maribor SI-2000, Slovenia;3. Faculty of Natural Science and Mathematics, University of Maribor, Koro?ka c.160, Maribor SI-2000, Slovenia;4. Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, Maribor SI-2000, Slovenia |
| Abstract: | This paper considers the limit cycle bifurcation problem of planar piecewise differential systems with three zones. Some computation formulas studied the problem of limit cycle bifurcations are provided by introducing multiple parameters. As an application to the obtained method, the number of limit cycles of a piecewise linear system with three zones studied in Lima et al. (2017) is discussed and some more limit cycles are found. |
| Keywords: | Piecewise differential system Limit cycle Periodic orbit Hamiltonian system |
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