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The number of limit cycles of polynomial deformations of a Hamiltonian vector field

Published online by Cambridge University Press:  19 September 2008

P. Mardešić
P. Mardešić
Affiliation:
Department of Mathematics, Faculty of Electrical Engineering, Unska 3, 41000 Zagreb, Yugoslavia
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Abstract

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We prove that the lowest upper bound for the number of limit cycles of small nonconservative polynomial deformations of degree n of the Hamiltonian vector field is n − 1.

A consequence is that the lowest upper bound for the number of limit cycles of generic n-parameter deformations of cusps is n − 1.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 3 , September 1990 , pp. 523 - 529
Copyright
Copyright © Cambridge University Press 1990

References

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