Synopsis We consider the existence and smoothness of global centre unstable manifolds for finite and infinite dimensional flows or maps. We show that every global centre unstable manifold can be expressed as a graph of a C k map, provided that the nonlinearities are C k smooth. The proofs are based on a lemma by D. Henry on a necessary and sufficient condition for a Lipschitz map to be continuously differentiable.
No takes yet. Share an insight, caveat, or question.
Chow et al. (1988) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: