Topological entropy

Known as: Entropy (disambiguation) 
In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity… (More)
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2011
2011
MOTIVATION Topological entropy has been one of the most difficult to implement of all the entropy-theoretic notions. This is… (More)
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Highly Cited
2010
Highly Cited
2010
Topological entropy há(T) is defined for a uniformly continuous map on a metric space. General statements are proved about this… (More)
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2006
Highly Cited
2006
This paper extends the concept of topological entropy to the case of uncertain dynamical systems. We address problems of… (More)
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2006
2006
Let (X, d, T ) be a dynamical system, where (X, d) is a compact metric space and T : X → X a continuous map. We introduce two… (More)
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2006
2006
We consider partially hyperbolic diffeomorphisms on compact manifolds where the unstable and stable foliations stably carry some… (More)
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Highly Cited
2005
Highly Cited
2005
We compute the joint entropy of d commuting automorphisms of a compact metrizable group. Let R d = Z [ u ( 1 . . . . . uf 1] be… (More)
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Highly Cited
2004
Highly Cited
2004
It is well known in the field of dynamical systems that entropy can be defined rigorously for completely deterministic open-loop… (More)
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2000
Highly Cited
2000
For subshifts of finite type, conformal repellers, and conformal horseshoes, we prove that the set of points where the pointwise… (More)
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Highly Cited
1997
Highly Cited
1997
It is known that the topological entropy for the geodesic flow on a Riemannian manifoldM is bounded if the absolute value of… (More)
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1997
1997
We prove that a diieomorphism possessing a homoclinic point with a topological crossing (possibly with innnite order contact) has… (More)
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