Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing. Such ordinary differential equations often arise in perturbed autonomous Hamiltonian systems.
Submitted May 8, 2000. Published May 30, 2000.
Math Subject Classifications: 34C37, 34D10, 37C29.
Key Words: homoclinics, averaging, bifurcation.
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