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Article

Sáez, Eduardo ; Szántó, Iván
Uniqueness of limit cycles bounded by two invariant parabolas. (English). Applications of Mathematics, vol. 57 (2012), issue 5, pp. 521-529
MSC: 34C05, 37C75, 37N25, 58F14, 58F21, 92B05, 92D25 | MR 2984617 | Zbl 1262.92003 | DOI: 10.1007/s10492-012-0030-y
Keywords:
stability; limit cycles; center; bifurcation; Matlab
Summary:
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.
References:
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