Sensitivity and Devaney's chaos in uniform spaces
Tullio Ceccherini-Silberstein, Michel Coornaert
TL;DR
This paper establishes conditions under which continuous group actions on uniform spaces exhibit sensitivity, contributing to the understanding of chaos in such mathematical structures.
Contribution
It provides new sufficient conditions for sensitivity in the context of continuous group actions on uniform spaces, expanding chaos theory.
Findings
Identifies criteria for sensitivity in uniform spaces
Links sensitivity to Devaney's chaos in uniform spaces
Enhances understanding of chaos in topological dynamics
Abstract
We give sufficient conditions for sensitivity of continuous group actions on uniform spaces.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · advanced mathematical theories