Results 41 to 50 of about 4,572 (182)
Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case
Entropy, 2017 In this contribution, we introduce the concepts of logical entropy and logical mutual information of experiments in the intuitionistic fuzzy case, and study the basic properties of the suggested measures. Subsequently, by means of the suggested notion of
Dagmar Markechová, Beloslav Riečan
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A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy
Entropy, 2019 A rigorous dynamical systems-based hierarchy is established for the definitions of entropy of Shannon (information), Kolmogorov−Sinai (metric) and Adler, Konheim & McAndrew (topological).
Raymond Addabbo, Denis Blackmore
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, 1999 The intriguing relations between Kolmogorov-Sinai entropy and self diffusion coefficients and the excess (thermodynamic) entropy found by Dzugutov and collaborators do not appear to hold for hard sphere and hard disks systems.Comment: 1 page ...
B. J. Alder +7 more
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Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold [PDF]
, 2007 We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a sequence of eigenfunctions is characterized by the Kolmogorov-Sinai entropy
Anantharaman, Nalini +1 more
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Kolmogorov-Sinai Entropy of the Dilute Wet Granular Gas
Physical Review Letters, 2005 We present an analytical expression for the Kolmogorov-Sinai entropy of a wet granular gas. The influence of the liquid is modeled by a hysteretic interaction force. For the dilute limit (two-particle collisions only), we find a simple expression accounting for the contribution of both the scattering states and the bound states in arbitrary dimensions.
Fingerle, A. +2 more
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Open Physics, 2018 This paper proposes a new three-dimensional chaotic flow with one stable equilibrium. Dynamical properties of this system are investigated. The system has a chaotic attractor coexisting with a stable equilibrium.
Khalaf Abdul Jalil M. +5 more
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Logical entropy of dynamical systems in product MV-algebras and general scheme
Advances in Difference Equations, 2019 The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
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Thermodynamic formalism for field driven Lorentz gases
, 2003 We analytically determine the dynamical properties of two dimensional field driven Lorentz gases within the thermodynamic formalism. For dilute gases subjected to an iso-kinetic thermostat, we calculate the topological pressure as a function of a ...
C. Beck +10 more
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Density of first Poincaré returns, periodic orbits, and Kolmogorov–Sinai entropy [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2011 It is known that unstable periodic orbits of a given map give information about the natural measure of a chaotic attractor. In this work we show how these orbits can be used to calculate the density function of the first Poincar returns. The close relation between periodic orbits and the Poincar returns allows for estimates of relevant quantities ...
Pinto, Paulo R. F. +2 more
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Entropy of Fuzzy Partitions and Entropy of Fuzzy Dynamical Systems
Entropy, 2016 In the paper we define three kinds of entropy of a fuzzy dynamical system using different entropies of fuzzy partitions. It is shown that different definitions of the entropy of fuzzy partitions lead to different notions of entropies of fuzzy dynamical ...
Dagmar Markechová, Beloslav Riečan
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