Article ID Journal Published Year Pages File Type
4627733 Applied Mathematics and Computation 2014 13 Pages PDF
Abstract

In this paper, we suppose a planar piecewise Hamiltonian system has a generalized homoclinic loop with a hyperbolic saddle on a switch line, and assume that there are two families of periodic orbits on both sides of the loop. Under perturbations we first give the expansion of the first Melnikov function near the loop. Then by using the first coefficients in the expansion, we study the number of limit cycles bifurcating from the homoclinic loop.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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