Positive topological entropy implies chaos DC2
Tomasz Downarowicz
TL;DR
This paper demonstrates that positive topological entropy in a dynamical system implies the presence of chaos, specifically DC2 chaos, using ergodic theory techniques.
Contribution
It provides a proof linking positive topological entropy to DC2 chaos through ergodic theory methods, establishing a new theoretical connection.
Findings
Positive topological entropy implies DC2 chaos
Ergodic theory methods are effective in proving chaos
Theoretical link between entropy and chaos established
Abstract
Using methods of ergodic theory we prove as in the title.
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Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories · Cellular Automata and Applications