Geodesic
Uniqueness of limit cycles bounded by two invariant parabolas
Applications of Mathematics, Tome 57 (2012) no. 5, pp. 521-529.

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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.
DOI : 10.1007/s10492-012-0030-y
Classification : 34C05, 37C75, 37N25, 58F14, 58F21, 92B05, 92D25
Keywords: stability; limit cycles; center; bifurcation; Matlab 
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Sáez, Eduardo; Szántó, Iván. Uniqueness of limit cycles bounded by two invariant parabolas. Applications of Mathematics, Tome 57 (2012) no. 5, pp. 521-529. doi : 10.1007/s10492-012-0030-y. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0030-y/

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