Results 311 to 320 of about 846,338 (367)

Topological entropy bounds multiscale entropy

Topology and its Applications, 2023
In this paper, the concept of topological entropy is defined for a discrete dynamical system over a compact metric space \(X\). Section 1 is introductory. Section 2 is devoted to the concept of topological entropy with respect to an observable function: \[ h(f,\varphi)=\sup\{h(f,\varphi,\mathcal{A}); \mathcal{A}\in \mathcal{R}\}, \] where \(f:X\to X ...
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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_{
Zhu, Li, Ma, Dongkui
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Topological nearly entropy

AIP Conference Proceedings, 2017
The purpose of this paper is to generalize the notions of Adler’s topological entropy along with their several fundamental properties. A function f : X → Y is said to be R-map if f−1 (V) is regular open in X for every regular open set V in Y. Thus, we initiated a notion of topological nearly entropy for topological R-dynamical systems which is based on
Syazwani Gulamsarwar, Zabidin Salleh
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Physical Analysis of Heat of Formation and Entropy for Ceria Oxide Using Topological Indices.

Combinatorial chemistry & high throughput screening, 2020
BACKGROUND "Cerium oxide nanoparticles (.
Xiujun Zhang, M. K. Siddiqui, Sana Javed, L. Sherin, Farah Kausar, Mehwish Hussain Muhammad   +5 more
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Topological permutation entropy

Physica D: Nonlinear Phenomena, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amigó, José M., Kennel, Matthew B.
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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 ...
Liu, Xin, Wang, Huoyun, Fu, Heman
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Lowering topological entropy

Journal d'Analyse Mathématique, 1995
The author considers the topological entropy of (topological) factors of a given dynamical system \((X, T)\) with positive entropy \(h\). He shows that if \(X\) is a finite-dimensional space (i.e. a space of finite topological dimension), then there exist factors with all values of entropy between 0 and \(h\).
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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 of switched linear systems: general matrices and matrices with commutation relations

MCSS. Mathematics of Control, Signals and Systems, 2020
Guosong Yang, A. J. Schmidt, D. Liberzon, J. Hespanha   +3 more
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Topological Characterization and Entropy Measures of Tetragonal Zeolite Merlinoites

Journal of Molecular Structure, 2022
Daniel Paull, K. Jacob, J. Clement, M. Arockiaraj, D. Paul, K. Balasubramanian   +5 more
semanticscholar   +1 more source