Results 251 to 260 of about 18,101 (296)

Topological R-entropy and topological entropy of free semigroup actions

Journal of Mathematical Analysis and Applications, 2019
The paper introduces the notion of topological \(r\)-entropy for a free semigroup action. A link between the topological \(r\)-entropy and the topological entropy of a continuous map of a compact metric space \((X, d)\) is presented. Let \(f_0,\dots, f_{m-1}\) be homeomorphisms on a compact metric space \((X, d)\) to itself. Let \(h(f_0, f_1, \dots, f_{
Dongkui Ma
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Calculating Topological Entropy

Journal of Statistical Physics, 1997
This paper deals with the attempt to find effective algorithms for calculating the topological entropy of piecewise monotone maps of the interval having more than three pieces. The original motivation for the algorithms described in this paper is based on the following fact: If \(g\) is a piecewise monotone continuous function on the unit interval ...
Baldwin, Stewart L., Slaminka, Edward E.
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TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY

International Journal of Mathematics, 1994
Using Yomdin's Theorem [8], we show that for a compact Riemannian manifold M, the geodesic entropy — defined as the exponential growth rate of the average number of geodesic segments between two points — is ≤ the topological entropy of the geodesic flow of M.
Paternain, Gabriel P., Paternain, Miguel
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Topological entropy

, 2017
In this thesis we study topological entropy as an invariant of topological dynamical systems. The first chapter contains basic definitions and examples of topological dynamical systems.
Češík, Antonín
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Topological Sequence Entropy and Chaos

International Journal of Bifurcation and Chaos, 2014
A dynamical system is called a null system, if the topological sequence entropy along any strictly increasing sequence of non-negative integers is 0. Given 0 ≤ p ≤ q ≤ 1, a dynamical system is [Formula: see text] chaotic, if there is an uncountable subset in which any two different points have trajectory approaching time set with lower density p and ...
Xin Liu, Huoyun Wang, Heman Fu
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