Results 261 to 270 of about 18,101 (296)

A Remark on Topological Sequence Entropy

International Journal of Bifurcation and Chaos, 2017
Let [Formula: see text] be the supremum of all topological sequence entropies of a dynamical system [Formula: see text]. This paper obtains the iteration invariance and commutativity of [Formula: see text] and proves that if [Formula: see text] is a multisensitive transformation defined on a locally connected space, then [Formula: see text].
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On the estimation of topological entropy

Journal of Statistical Physics, 1993
We study here a method for estimating the topological entropy of a smooth dynamical system. Our method is based on estimating the logarithmic growth rates of suitably chosen curves in the system.
Thea Pignataro, Sheldon Newhouse
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Metric Entropy and Topological Entropy

2012
This chapter is dedicated to the study of metric entropy, including its relation to topological entropy. After establishing some basic properties of metric entropy, we consider the notion of conditional entropy, and we show how generators can be used to compute metric entropy. We then establish the Shannon–McMillan–Breiman theorem, which can be seen as
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Topological Entropy for Geodesic Flows

The Annals of Mathematics, 1979
There have been many results in recent years showing that the topological entropy of a diffeomorphism [5], [16], [23], or a continuous map [11], [12], [17], is at least the logarithm of certain eigenvalues of the map it induces in real homology. These relationships, conjectured by Shub [21, p.
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A CHAOTIC MAP WITH TOPOLOGICAL ENTROPY

Acta Mathematica Scientia, 1986
The author constructs a continuous interval map with topological entropy zero, which is chaotic in the sense of Li and Yorke. For other constructions of such maps see [\textit{J. Smítal}, Trans. Am. Math. Soc. 297, 269-282 (1986; Zbl 0639.54029)] and [\textit{M. Misiurewicz} and \textit{J. Smítal}, Ergodic Theory Dyn. Syst. 8, 421-424 (1988)].
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Crisis and topological entropy

Physical Review E, 1995
, Fan, , Chay
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Topological Sequence Entropy

Proceedings of the London Mathematical Society, 1974
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Topological entropy pairs for an iterated function system

Journal of Mathematical Analysis and Applications, 2020
Huoyun Wang
exaly  

Relating Topological Entropy and Measure Entropy

Bulletin of the London Mathematical Society, 1971
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Analysis and synthesis of networked control systems: Topological entropy, observability, robustness and optimal control

Automatica, 2006
Andrey V Savkin
exaly