Bifurcation of Multi-bump homoclinics in Systems with Normal and Slow Variables
Date
2000-05-30
Authors
Feckan, Michal
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Homoclinics, Averaging, Bifurcation
Citation
Feckan, M. (2000). Bifurcation of multi-bump homoclinics in systems with normal and slow variables. <i>Electronic Journal of Differential Equations, 2000</i>(41), pp. 1-17.
Rights
Attribution 4.0 International