Heteroclinic Orbits in Slow–Fast Hamiltonian Systems with Slow Manifold Bifurcations

Abstract

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)

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