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math.DS2016★ 4 cited
On the conservative pasting lemma
Pedro Teixeira
Several perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. The p…
math.DS2014
Topological detection of Lyapunov instability
Pedro Teixeira
Given an arbitrary continuous flow on a manifold M, let CMin be the set of its compact minimal sets, endowed with the Hausdorff metric, and S the subset of those that are Lyapunov…
math.DS2011
Flows near Compact Invariant Sets - Part I
Pedro Teixeira
In this paper it is proved that near a compact, invariant, proper subset of a continuous flow on a compact, connected metric space, at least one, out of twenty eight relevant dynam…