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Morphology, Polarization Patterns, Compression, and Entropy Production in Phase-Separating Active Dumbbell Systems. [PDF]

Entropy (Basel)
Carenza LM, Caporusso CB, Digregorio P, Suma A, Gonnella G, Semeraro M.   +5 more
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Variational Principle for Neutralized Bowen Topological Entropy

Qualitative Theory of Dynamical Systems, 2023
Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as Bn(x,e-nϵ)={y∈X:d(Tjx,Tjy)
Rui Yang, Ercai Chen, Xiaoyao Zhou
semanticscholar   +1 more source

Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective

Mathematische Zeitschrift, 2021
We study topological entropy of compactly supported Hamiltonian diffeomorphisms from a perspective of persistent homology and Floer theory. We introduce barcode entropy, a Floer-theoretic invariant of a Hamiltonian diffeomorphism, measuring exponential ...
Erman Çineli, V. Ginzburg, Başak Z. Gürel   +2 more
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Topological entropy of Markov set-valued functions

Ergodic Theory and Dynamical Systems, 2021
We investigate the entropy for a class of upper semi-continuous set-valued functions, called Markov set-valued functions, that are a generalization of single-valued Markov interval functions. It is known that the entropy of a Markov interval function can
Lori Alvin, James P. Kelly
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On Rational Curve Fitting between Topological Indices and Entropy Measures for Graphite Carbon Nitride

Polycyclic aromatic compounds (Print), 2022
Due to its metal-free and visible-light responsive nature, as well as attractive electrical band structure and excellent physicochemical stability, graphitic carbon nitride has become a new multidisciplinary research hot point.
Zheng-Qing Chu, M. K. Siddiqui, S. Manzoor, S. Kirmani, M. Hanif, Mehwish Hussain Muhammad   +5 more
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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 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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On Topological Entropy of Switched Linear Systems with Diagonal, Triangular, and General Matrices

IEEE Conference on Decision and Control, 2018
This paper introduces a notion of topological entropy for switched systems, formulated using the minimal number of initial states needed to approximate all initial states within a finite precision.
Guosong Yang, A. J. Schmidt, D. Liberzon
semanticscholar   +1 more source