Geodesic
Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 105-114 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A class of degree four differential systems that have an invariant conic $ x^2+Cy^2=1$, $C\in {\mathbb{R}}$, is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
A class of degree four differential systems that have an invariant conic $ x^2+Cy^2=1$, $C\in {\mathbb{R}}$, is examined. We show the coexistence of small amplitude limit cycles, large amplitude limit cycles, and invariant algebraic curves under perturbations of the coefficients of the systems.
Classification : 34-04, 34C05, 58F14, 58F21, 92D25
Keywords: stability; limit cycle; center; bifurcation 
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Sáez, Eduardo; Stange, Eduardo; Szántó, Iván. Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 105-114. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a8/

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