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math.DS2017
Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set
Olga Bernardi, Anna Florio
The aim of this paper is to study in detail the relations between strong chain recurrence for flows and Lyapunov functions. For a continuous flow on a compact metric space, uniform…
math.DS2017★ 6 cited
A Conley-type decomposition of the strong chain recurrent set
Olga Bernardi, Anna Florio
For a continuous flow on a compact metric space, the aim of this paper is to prove a Conley-type decomposition of the strong chain recurrent set. We first discuss in details the ma…