Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610871 | Journal of Differential Equations | 2011 | 26 Pages |
Abstract
In this paper we study the number of limit cycles appearing in Hopf bifurcations of piecewise planar Hamiltonian systems. For the case that the Hamiltonian function is a piecewise polynomials of a general form we obtain lower and upper bounds of the number of limit cycles near the origin respectively. For some systems of special form we obtain the Hopf cyclicity.
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