Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 41, pp. 1-17.

Title: Bifurcation of multi-bump homoclinics in systems 
       with normal and slow variables

Author: Michal Feckan (Comenius Univ. Slovakia)
    
Abstract: 
  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.