Electron. J. Diff. Eqns., Vol. 2000(2000), No. 41, pp. 1-17.
Bifurcation of multi-bump homoclinics in systems
with normal and slow variables
Michal Feckan
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.
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Michal Feckan
Department of Mathematical Analysis, Comenius University,
Mlynska dolina, 842 48 Bratislava, Slovakia
e-mail: Michal.Feckan@fmph.uniba.sk
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