Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin
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Published:2019-10-18
Issue:3
Volume:63
Page:547-561
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. Math. Bull.
Author:
Llibre Jaume,Martínez Paulina,Vidal Claudio
Abstract
AbstractWe study the number of limit cycles bifurcating from the origin of a Hamiltonian system of degree 4. We prove, using the averaging theory of order 7, that there are quartic polynomial systems close these Hamiltonian systems having 3 limit cycles.
Publisher
Canadian Mathematical Society
Subject
General Mathematics