Results 21 to 30 of about 4,572 (182)

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

Kolmogorov-Sinai entropy via separation properties of order-generated $\sigma$-algebras

Discrete & Continuous Dynamical Systems - A, 2014
22 pages, 2 ...
A. Antoniouk, K. Keller, S. Maksymenko
openaire   +5 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

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

Conditional entropy of ordinal patterns [PDF]

, 2014
In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the average diversity of the ordinal patterns succeeding a given ordinal ...
Keller, Karsten, Unakafov, Anton M.
core   +1 more source

Kolmogorov-Sinai entropy for dilute gases in equilibrium [PDF]

Physical Review E, 1997
We use the kinetic theory of gases to compute the Kolmogorov-Sinai entropy per particle for a dilute gas in equilibrium. For an equilibrium system, the KS entropy, h_KS is the sum of all of the positive Lyapunov exponents characterizing the chaotic behavior of the gas. We compute h_KS/N, where N is the number of particles in the gas.
van Beijeren, H., Dorfman, J.R., Posch, H.A., Dellago, Ch.   +3 more
openaire   +5 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

Trajectory versus probability density entropy [PDF]

, 2000
We study the problem of entropy increase of the Bernoulli-shift map without recourse to the concept of trajectory and we discuss whether, and under which conditions if it does, the distribution density entropy coincides with the Kolmogorov-Sinai entropy,
A.K. Pattanayak, A.K. Pattanayak, A.K. Pattanayak, A.K. Pattanayak, A.N. Kolmogorov, Angelo Rosa, C. Tsallis, D. J. Driebe, D.J. Evans, G. Gallavotti, J. R. Dorfman, J.L. Lebowitz, J.L. Lebowitz, L. Rondoni, M. C. Mackey, Markos Karagiorgis, Mauro Bologna, N.I. Chernov, P. Gaspard, P. Gaspard, P. Gaspard, P. Gaspard, P. Grigolini, P. Manneville, P.A. Miller, P.A. Miller, Paolo Grigolini, R. C. Hilborn, S. Goldstein, S. Goldstein, S. Tasaki, T. Gilbert, T. Petrosky, T. Petrosky, V. Latora, W. G. Hoover, W.G. Hoover, W.H. Zurek, Ya.B. Pesin, Ya.G. Sinai   +39 more
core   +2 more sources

Logical entropy of dynamical systems

Advances in Difference Equations, 2018
The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová, Abolfazl Ebrahimzadeh, Zahra Eslami Giski   +2 more
doaj   +1 more source

Chaoticity of the Wet Granular Gas [PDF]

, 2007
In this work we derive an analytic expression for the Kolmogorov-Sinai entropy of dilute wet granular matter, valid for any spatial dimension. The grains are modelled as hard spheres and the influence of the wetting liquid is described according to the ...
Fingerle, A., Herminghaus, S., Zaburdaev, V. Yu.   +2 more
core   +1 more source