Results 11 to 20 of about 622 (159)

Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then   the ergodic properties of relative  semi-dynamical ...
Uosef Mohammadi
doaj   +3 more sources

Quantum Kolmogorov-Sinai entropy and Pesin relation [PDF]

Physical Review Research, 2021
We discuss a quantum Kolmogorov-Sinai entropy defined as the entropy production per unit time resulting from coupling the system to a weak, auxiliary bath.
Tomer Goldfriend, Jorge Kurchan
doaj   +3 more sources

A General Symbolic Approach to Kolmogorov-Sinai Entropy [PDF]

Entropy, 2017
It is popular to study a time-dependent nonlinear system by encoding outcomes of measurements into sequences of symbols following certain symbolization schemes.
Inga Stolz, Karsten Keller
doaj   +2 more sources

Entanglement Dynamics and Classical Complexity [PDF]

Entropy, 2023
We study the dynamical generation of entanglement for a two-body interacting system, starting from a separable coherent state. We show analytically that in the quasiclassical regime the entanglement growth rate can be simply computed by means of the ...
Jiaozi Wang, Barbara Dietz, Dario Rosa, Giuliano Benenti   +3 more
doaj   +2 more sources

A Unified Framework Linking Entropy, Fractal Dimension, and Lyapunov Exponents in Chaotic Dynamics

Complexity
This study presents a universal operator framework predicting critical transitions in nonlinear systems through the intrinsic nexus of entropy, fractal geometry, and chaos.
Elio Quiroga Rodríguez
doaj   +2 more sources

Predictability of breathing parameters during cardiopulmonary exercise testing using entropy measurements. [PDF]

Physiol Rep
Abstract Erratic breathing at rest and during exercise has been described in patients with dysfunctional breathing (DB). Sample entropy (SampEn) and approximate entropy (ApEn) were developed to assess the predictability of parameters in time series data. However, SampEn and ApEn were developed for data without trends.
Genecand L, Jaksic C, Simian G, Desponds R, Guerreiro I, Cantero C, Altarelli M, Frésard I, Lador F, Beurnier A, Laveneziana P, Montani D, Bergeron A, Bridevaux PO.   +13 more
europepmc   +2 more sources

Cognitive brain lateralization through neurovascular coupling in healthy subjects: A statistical complexity analysis. [PDF]

Physiol Rep
Abstract Human sensory, cognitive, and motor processes often result in asymmetric cerebral hemisphere activation, observable through neurovascular coupling (NVC). Brain lateralization enables simultaneous performance of distinct functions, enhancing cognitive capacity.
Rojas-Pescio H, Beishon L, Panerai RB, Chacón M.   +3 more
europepmc   +2 more sources

Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate

Journal of High Energy Physics, 2018
The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate h KS given by the sum of all positive Lyapunov exponents of the system.
Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo   +2 more
doaj   +4 more sources

Generalized Ordinal Patterns and the KS-Entropy

Entropy, 2021
Ordinal patterns classifying real vectors according to the order relations between their components are an interesting basic concept for determining the complexity of a measure-preserving dynamical system. In particular, as shown by C. Bandt, G.
Tim Gutjahr, Karsten Keller
doaj   +1 more source

On Rényi Permutation Entropy

Entropy, 2021
Among various modifications of the permutation entropy defined as the Shannon entropy of the ordinal pattern distribution underlying a system, a variant based on Rényi entropies was considered in a few papers.
Tim Gutjahr, Karsten Keller
doaj   +1 more source