An Improved Lower Bound on the Number of Limit Cycles Bifurcating from a quintic Hamiltonian Planar Vector Field under quintic Perturbation
نویسندگان
چکیده
The limit cycle bifurcations of a Z2 equivariant quintic planar Hamiltonian vector field under Z2 equivariant quintic perturbation is studied. We prove that the given system can have at least 27 limit cycles. This is an improved lower bound on the possible number of limit cycles that can bifurcate from a quintic planar Hamiltonian system under quintic perturbation.
منابع مشابه
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 20 شماره
صفحات -
تاریخ انتشار 2010