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134
KolmogorovSinai entropy and black holes
, 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 KolmogorovSinai entropy. It is found that the KolmogorovSinai 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 KolmogorovSinai entropy. It is found that the KolmogorovSinai entropy of a spreading string equals to the half
An algebraic approach to the KolmogorovSinai entropy
, 1995
"... We revisit the notion of KolmogorovSinai entropy for classical dynamical systems in terms of an algebraic formalism. This is the starting point for defining the entropy for general noncommutative systems. Hereby typical quantum tools are introduced in the statistical description of classical dynam ..."
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Cited by 11 (2 self)
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We revisit the notion of KolmogorovSinai entropy for classical dynamical systems in terms of an algebraic formalism. This is the starting point for defining the entropy for general noncommutative systems. Hereby typical quantum tools are introduced in the statistical description of classical
1 KolmogorovSinai entropy from the ordinal viewpoint
, 2009
"... In the case of ergodicity much of the structure of a onedimensional timediscrete 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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Cited by 8 (3 self)
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measurable map on a subset of the real numbers. In particular, we give a natural ordinal description of KolmogorovSinai entropy of a large class of onedimensional dynamical systems and relate KolmogorovSinai entropy to the permutation entropy recently introduced by Bandt and Pompe. Keywords: time
Positive KolmogorovSinai entropy for the Standard map
, 1999
"... We prove that the KolmogorovSinai entropy of the ChirikovStandard 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 twodimensional torus is bounded below by log(=2) \Gamma C() with C() = arcsinh(1=) + log(2= p 3). For ? 0 = (8=( ..."
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Cited by 1 (0 self)
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We prove that the KolmogorovSinai entropy of the ChirikovStandard 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 twodimensional torus is bounded below by log(=2) \Gamma C() with C() = arcsinh(1=) + log(2= p 3). For ? 0 = (8
KolmogorovSinai entropy from recurrence times
, 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
FIRST POINCARÉ RETURNS, NATURAL MEASURE, UPOS AND KOLMOGOROVSINAI ENTROPY
, 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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Cited by 1 (0 self)
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Poincaré returns. The close relation between periodic orbits and the Poincaré returns allows for analytical and semianalytical estimations of relevant quantities in dynamical systems, as the decay of correlation and the KolmogorovSinai entropy, in terms of this density function. Since return times can
Identification of Anaerobic Threshold during Dynamic Exercise in Healthy Men Using KolmogorovSinai Entropy
"... 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 KolmogorovSina ..."
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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 KolmogorovSinai
Results 1  10
of
134