Article ID Journal Published Year Pages File Type
4610871 Journal of Differential Equations 2011 26 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis