Motivated by a problem in which a heteroclinic orbit represents a moving interface between ordered and disordered crystalline states, we consider a class of slow–fast Hamiltonian systems in which the slow manifold loses normal hyperbolicity due to a transcritical or pitchfork bifurcation as a slow variable changes. We show that under assumptions appropriate… (More)

A boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation.Comput.Math.Math

V. F. Butuzov, E. A. Gromova

2001

1 Excerpt

Geometric analysis of the singularly perturbed planar fold

M. Krupa, P. Szmolyan

Multipletime-scale Dynamical Systems (Minneapolis…