# Topological entropy

## Papers overview

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2011

2011

- Bioinformatics
- 2011

MOTIVATION
Topological entropy has been one of the most difficult to implement of all the entropy-theoretic notions. This isâ€¦Â (More)

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2010

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2010

- 2010

Topological entropy hĂˇ(T) is defined for a uniformly continuous map on a metric space. General statements are proved about thisâ€¦Â (More)

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2006

Highly Cited

2006

- Automatica
- 2006

This paper extends the concept of topological entropy to the case of uncertain dynamical systems. We address problems ofâ€¦Â (More)

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2006

2006

- 2006

Let (X, d, T ) be a dynamical system, where (X, d) is a compact metric space and T : X â†’ X a continuous map. We introduce twoâ€¦Â (More)

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2006

2006

- 2006

We consider partially hyperbolic diffeomorphisms on compact manifolds where the unstable and stable foliations stably carry someâ€¦Â (More)

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2005

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2005

- 2005

We compute the joint entropy of d commuting automorphisms of a compact metrizable group. Let R d = Z [ u ( 1 . . . . . uf 1] beâ€¦Â (More)

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2004

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2004

- IEEE Transactions on Automatic Control
- 2004

It is well known in the field of dynamical systems that entropy can be defined rigorously for completely deterministic open-loopâ€¦Â (More)

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2000

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2000

- 2000

For subshifts of finite type, conformal repellers, and conformal horseshoes, we prove that the set of points where the pointwiseâ€¦Â (More)

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1997

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1997

- 1997

It is known that the topological entropy for the geodesic flow on a Riemannian manifoldM is bounded if the absolute value ofâ€¦Â (More)

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1997

1997

- 1997

We prove that a diieomorphism possessing a homoclinic point with a topological crossing (possibly with innnite order contact) hasâ€¦Â (More)

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