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Limit cycle bifurcations of some Liénard systems |
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| Authors: | Junmin Yang Valery G Romanovski |
| Institution: | a Department of Mathematics, Shanghai Normal University, Shanghai 200234, China b Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, Maribor, SI-2000, Slovenia |
| Abstract: | In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonian systems near a double homoclinic loop or a center as a preliminary. Then we use these theorems to study some polynomial Liénard systems with perturbations and give new lower bounds for the maximal number of limit cycles of these systems. |
| Keywords: | Double homoclinic loop Limit cycle Bifurcation Polynomial system |
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