Abstract

GONZALEZ-RAMIREZ, L. ROCÍO; OSUNA, OSVALDO  and  SANTAELLA-FORERO, RUBÉN. On the existence of limit cycles for some planar vector fields. Integración - UIS [online]. 2015, vol.33, n.2, pp.191-198. ISSN 0120-419X.

In this work, we prove the existence of limit cycles in planar systems that can be written as appropriate perturbations of Hamiltonian systems. In particular, we obtain criteria for the existence of limit cycles for Liénard-type systems. We present examples in order to illustrate our results

Keywords : Poincaré-Bendixson theorem; trapping region; Liénard equation; limit cycles.

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