Heteroclinic connections in singularly perturbed systems
Resource
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,9(3-4),431-461.
Journal
Discrete and Continuous Dynamical Systems-Series B
Pages
431-461
Date Issued
2008-05
Date
2008-05
Author(s)
Battelli, F
Palmer, K
Abstract
We consider a singularly perturbed system with two normally hyperbolic centre manifolds. We derive one bifurcation function, the zeros of which correspond to heteroclinic connections near such a connection for the unperturbed system, and a second bifurcation function the zeros of which correspond to the vectors in the intersection of the tangent spaces to the centre-unstable and centre-stable manifolds along the heteroclinic connections.
Type
journal article