JournalsaihpcVol. 13, No. 1pp. 17–56

Perturbations of quadratic Hamiltonian systems with symmetry

  • Emil Ivanov Horozov

    University of Sofia, Faculty of Mathematics and Informatics, 5, J. Bourchier blvd., 1126 Sofia, Bulgaria

  • Iliya Dimov Iliev

    Institute of Mathematics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria
Perturbations of quadratic Hamiltonian systems with symmetry cover
Download PDF

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