Cubic and quartic planar differential systems with exact algebraic limit cycles.
Bendjeddou, Ahmed, Cheurfa, Rachid (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bendjeddou, Ahmed, Cheurfa, Rachid (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
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Eduardo Sáez, Iván Szántó (2012)
Applications of Mathematics
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In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
Gaiko, Valery
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Xie, Xiangdong, Chen, Fengde, Zhan, Qingyi (2010)
Discrete Dynamics in Nature and Society
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