Results 71 to 80 of about 622 (159)
Physical Review E, 2005 We discuss the connection between the Kolmogorov-Sinai entropy, $h_{KS}$, and the production rate of the coarse grained Gibbs entropy, $r_G$. Detailed numerical computations show that the (often accepted) identification of the two quantities does not hold in systems with intermittent behavior and/or very different characteristic times and in systems ...
FALCIONI, Massimo +2 more
openaire +5 more sources
On the connections of the generalized entropies and Kolmogorov-Sinai entropies
, 2013 We consider the concept of generalized measure-theoretic entropy, where instead of the Shannon entropy function we consider an arbitrary concave function defined on the unit interval, vanishing in the origin. Under mild assumptions on this function we show that this isomorphism invariant is linearly dependent on the Kolmogorov-Sinai entropy.
openaire +2 more sources
On the origin and development of some notions of entropy
Topological Algebra and its Applications, 2015 Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems.
Balibrea Francisco
doaj +1 more source
Kolmogorov-Sinai and Bekenstein-Hawking entropies
, 2007 8 pages, no figures; factors in Eqns.
openaire +2 more sources
Tsallis Entropy of Fuzzy Dynamical Systems
Mathematics, 2018 This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order q , where q is a positive real number not equal to 1, of ...
Dagmar Markechová
doaj +1 more source
Molecular Oncology, Volume 19, Issue S1, Page 1-940, June 2025.Abstracts submitted to the ‘EACR 2025 Congress: Innovative Cancer Science’, from 16–19 June 2025 and accepted by the Congress Organising Committee are published in this Supplement of Molecular Oncology, an affiliated journal of the European Association for Cancer Research (EACR).
wiley +1 more source
Kolmogorov-Sinai entropy of a generalized Markov shift
, 2005 In this paper we calculate Kolmogorov-Sinai entropy $h_M(S)$ of the generalized Markov shift associated with a contractive Markov system (CMS) \cite{Wer1} using the coding map constructed in \cite{Wer3}. We show that \[h_M(S)=-\sum\limits_{e\in E}\int\limits_{K_{i(e)}} p_e\log p_edμ\] where $μ$ is a unique invariant Borel probability measure of the CMS.
openaire +2 more sources
The non-extensive version of the Kolmogorov-Sinai entropy at work
, 1999 We address the problem of applying the Kolmogorov-Sinai method of entropic analysis, expressed in a generalized non-extensive form, to the dynamics of the logistic map at the chaotic threshold, which is known to be characterized by a power law rather than exponential sensitivity to initial conditions.
Montangero, S. +2 more
openaire +2 more sources
Engineering chaos in a four-mirror cavity-optomechanics with mechanical drives
Results in PhysicsWe study the occurrence of chaos in a four-mirror optomechanical cavity with mechanical drives externally interacting with two transversely located moving-end mirrors of the cavity.
Kashif Ammar Yasir, Xianlong Gao
doaj +1 more source
On the Kolmogorov-Sinai entropy of many-body Hamiltonian systems
, 2011 5 figures, resubmitted to Phys.
Lakshminarayan, Arul, Tomsovic, Steven
openaire +3 more sources