Feuilletages Proches d'une Fibration. / C. Bonatti.
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Flow invariance for perturbed nonlinear evolution equations.
Bothe, Dieter (1996)
Abstract and Applied Analysis
Flows near compact invariant sets. Part I
Pedro Teixeira (2013)
Fundamenta Mathematicae
It is proved that near a compact, invariant, proper subset of a C⁰ flow on a locally compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. Theorem 1 shows that the connectedness of the phase space implies the existence of a considerably deeper classification of topological flow behaviour in the vicinity of compact invariant sets than that described in the classical theorems of Ura-Kimura and Bhatia. The proposed classification brings...
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