Results 1 - 10 of 134

Kolmogorov-Sinai entropy and black holes

by Kostyantyn Ropotenko , 808
"... Abstract. It is shown that stringy matter near the event horizon of a Schwarzschild black hole exhibits chaotic behavior (the spreading effect) which can be characterized by the Kolmogorov-Sinai entropy. It is found that the Kolmogorov-Sinai entropy of a spreading string equals to the half of the in ..."
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Abstract. It is shown that stringy matter near the event horizon of a Schwarzschild black hole exhibits chaotic behavior (the spreading effect) which can be characterized by the Kolmogorov-Sinai entropy. It is found that the Kolmogorov-Sinai entropy of a spreading string equals to the half

Kolmogorov-Sinai entropy from . . .

by Karsten Keller, Mathieu Sinn
"... ..."
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An algebraic approach to the Kolmogorov-Sinai entropy

by R. Alicki, J. Andries, M. Fannes, P. Tuyls, Instituut Voor Theoretische Fysica , 1995
"... We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical systems in terms of an algebraic formalism. This is the starting point for defining the entropy for general non-commutative systems. Hereby typical quantum tools are introduced in the statistical description of classical dynam ..."
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We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical systems in terms of an algebraic formalism. This is the starting point for defining the entropy for general non-commutative systems. Hereby typical quantum tools are introduced in the statistical description of classical

1 Kolmogorov-Sinai entropy from the ordinal viewpoint

by Karsten Keller (corresponding, Mathieu Sinn, Karsten Keller, Mathieu Sinn , 2009
"... In the case of ergodicity much of the structure of a one-dimensional time-discrete dynamical system is already determined by its ordinal structure. We generally discuss this phenomenon by considering the distribution of ordinal patterns, which describe the up and down in the orbits of a Borel measur ..."
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measurable map on a subset of the real numbers. In particular, we give a natural ordinal description of Kolmogorov-Sinai entropy of a large class of one-dimensional dynamical systems and relate Kolmogorov-Sinai entropy to the permutation entropy recently introduced by Bandt and Pompe. Keywords: time

Positive Kolmogorov-Sinai entropy for the Standard map

by Oliver Knill, For \gamma , 1999
"... We prove that the Kolmogorov-Sinai entropy of the Chirikov-Standard map Tf : (x; y) 7! (2x \Gamma y + f(x); x) with f(x) = sin(x) with respect to the invariant Lebesgue measure on the two-dimensional torus is bounded below by log(=2) \Gamma C() with C() = arcsinh(1=) + log(2= p 3). For ? 0 = (8=( ..."
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We prove that the Kolmogorov-Sinai entropy of the Chirikov-Standard map Tf : (x; y) 7! (2x \Gamma y + f(x); x) with f(x) = sin(x) with respect to the invariant Lebesgue measure on the two-dimensional torus is bounded below by log(=2) \Gamma C() with C() = arcsinh(1=) + log(2= p 3). For ? 0 = (8

Article Eigenvalue Estimates Using the Kolmogorov-Sinai Entropy

by Shih-feng Shieh , 2011
"... entropy ..."
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entropy

Kolmogorov-Sinai entropy from recurrence times

by M. S. Baptista Ab, Margarida Brito B, J. Kurths , 908
"... ABSTRACT: Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon’s entropy per unit of time, from the ..."
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ABSTRACT: Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon’s entropy per unit of time, from

ISCO, Lyapunov exponent and Kolmogorov-Sinai entropy for

by Kerr-newman Black Hole, Partha Pratim Pradhan, Vivekananda Satabarshiki Mahavidyalaya, Manikpara Paschim Medinipur
"... ar ..."
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FIRST POINCARÉ RETURNS, NATURAL MEASURE, UPOS AND KOLMOGOROV-SINAI ENTROPY

by Paulo R. F. Pinto, M. S. Baptista, Isabel S , 908
"... PACS: 05.45.–a Nonlinear dynamics and chaos; 65.40.gd Entropy Abstract. 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 ..."
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Poincaré returns. The close relation between periodic orbits and the Poincaré returns allows for analytical and semi-analytical estimations of relevant quantities in dynamical systems, as the decay of correlation and the Kolmogorov-Sinai entropy, in terms of this density function. Since return times can

Identification of Anaerobic Threshold during Dynamic Exercise in Healthy Men Using Kolmogorov-Sinai Entropy

by Fmhsp Silva, Ac Silva Filho, Lo Murta, Mas Lavrador, Vrfs Marães, Ms Moura, Am Catai, E Silva, Bc Maciel, L Gallo
"... During dynamic physical exercise there is a changing point in physiological state called Anaerobic Threshold (AT). Some respiratory and cardiovascular variables, including heart rate variability (HRV), experiment substantial changes at this point. In this work we measure the AT using Kolmogorov-Sina ..."
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During dynamic physical exercise there is a changing point in physiological state called Anaerobic Threshold (AT). Some respiratory and cardiovascular variables, including heart rate variability (HRV), experiment substantial changes at this point. In this work we measure the AT using Kolmogorov-Sinai
Results 1 - 10 of 134