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2008 International Workshop on Dynamical System and Realted Topics
(2008 / vol.10 / no.2)
Entropy and measure degeneracy for flows
Wenxiang Sun, Edson Vargas
Pages. 121-130   



In discrete dynamical systems topological entropy is a topological
invariant and a measurement of the complexity of a system. In continuous dynamical
systems, in general, topological entropy defined as usual by the
time one map does not work so well in what concerns these aspects.
The point is that the natural notion of equivalence in the
discrete case is topological conjugacy which preserves time while in
the continuous case the natural notion of equivalence is topological
equivalence which allow reparametrizations of the orbits. The main issue
happens in the case that the system has fixed points and will be
our subject here.



1. Introduction
2. Basic concepts and notations
3. Entropy degeneracy for flows
4. Characterization of entropy degeneracy
5. Topological chaotic and measure degenerated flows



Equivalent flows, topological entropy, measure-theoretic entropy, reparametrizations



37C15, 34C28, 37A10