Geodesic
Small Amplitude Limit Cycles for Cubic Systems
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 54-63

Voir la notice de l'article provenant de la source Cambridge University Press

In this article we study the simultaneous generation of limit cycles out of singular points and infinity for the family of cubic planar systems With a suitable choice of parameters, the origin and four other singularities are foci and infinity is a periodic orbit. We prove that it is possible to obtain the following configuration of limit cycles: two small amplitude limit cycles out of the origin, a small amplitude limit cycle out of each of the other four foci, and a large amplitude limit cycle out of infinity. We also obtain other configurations with fewer limit cycles.
DOI : 10.4153/CMB-1993-009-4
Mots-clés : 58F21, 34C05 
Guíñez, V.; Sáez, E.; Szántó, I. Small Amplitude Limit Cycles for Cubic Systems. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 54-63. doi: 10.4153/CMB-1993-009-4
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