Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627733 | Applied Mathematics and Computation | 2014 | 13 Pages |
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
Authors
Lijun Wei, Feng Liang, Shiping Lu,