Perturbations of quadratic Hamiltonian systems with symmetry
Emil Ivanov Horozov
University of Sofia, Faculty of Mathematics and Informatics, 5, J. Bourchier blvd., 1126 Sofia, BulgariaIliya Dimov Iliev
Institute of Mathematics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria
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Abstract
It is proved that arbitrary quadratic perturbations of quadratic Hamiltonian systems in the plane possessing central symmetry can produce at most two limit cycles.
Résumé
Nous prouvons que les perturbations quadratiques arbitraires des systèmes hamiltoniens quadratiques et symétrie sur la plane peut produire au plus deux cycles limites.
Cite this article
Emil Ivanov Horozov, Iliya Dimov Iliev, Perturbations of quadratic Hamiltonian systems with symmetry . Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 1, pp. 17–56
DOI 10.1016/S0294-1449(16)30096-8