On non-chaotic hyperbolic sets
Noriaki Kawaguchi
TL;DR
This paper establishes precise conditions under which hyperbolic sets are non-chaotic or chaotic, clarifying the boundary between these dynamical behaviors.
Contribution
It provides necessary and sufficient criteria for hyperbolic sets to be classified as non-chaotic or chaotic, advancing understanding of hyperbolic dynamics.
Findings
Characterization of non-chaotic hyperbolic sets
Criteria for chaotic behavior in hyperbolic sets
Clarification of the boundary between chaos and order
Abstract
We give necessary and sufficient conditions for a hyperbolic set to be non-chaotic (or, conversely, chaotic) in a certain sense.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Analytic and geometric function theory · Quantum chaos and dynamical systems