Positive entropy through pointwise dynamics
Copyright policy )Positive entropy through pointwise dynamics
We define some pointwise properties of topological dynamical systems and give pointwise conditions to guarantee the positiveness of the topological entropy of such a system. We also give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.
shadowing property, Topological entropy, topological entropy, FOS: Mathematics, 37B40, Dynamical Systems (math.DS), Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems, Mathematics - Dynamical Systems, Dynamics in general topological spaces
shadowing property, Topological entropy, topological entropy, FOS: Mathematics, 37B40, Dynamical Systems (math.DS), Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems, Mathematics - Dynamical Systems, Dynamics in general topological spaces
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