Rescaled-expansive flows: unstable sets and topological entropy
DOI:
https://doi.org/10.12775/TMNA.2024.024Keywords
Rescaled-expansiveness, topological entropy, attractorsAbstract
In this work, we introduce and explore a rescaled theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a rescaled version of the local unstable sets and the unstable points. We find conditions for points of the phase space to exhibit non-trivial connected pieces of such unstable sets. We apply these results to the problem of proving positive topological entropy for rescaled-expansive flows with non-singular Lyapunov stable sets.References
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Copyright (c) 2025 Alexander Arbieto, Alfonso Artigue, Elias Rego
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