Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos. [PDF]
Wali S +4 more
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Heart Rate Variability Patterns Reflect Yoga Intervention in Chronically Stressed Pregnant Women: A Quasi-Randomized Controlled Trial. [PDF]
Mayer MJE +5 more
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Improving cancer detection through computer-aided diagnosis: A comprehensive analysis of nonlinear and texture features in breast thermograms. [PDF]
Khodadadi H, Nazem S.
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Special Issue: Damage Analysis for Composite Materials: Methods, Testing and Evaluation. [PDF]
Durão LMP, Loureiro NC.
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Non-linear dynamical approaches for characterizing multi-sector climate impacts under irreducible uncertainty. [PDF]
Mawalagedara R +8 more
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Permutations and the Kolmogorov-Sinai entropy
This paper provides a way for determining the Kolmogorov-Sinai entropy of time-discrete dynamical systems on the base of quantifying ordinal patterns obtained from a finite set of observables. As a consequence, it is shown that the Kolmogorov-Sinai entropy is bounded from above by a quantity which generalizes the concept of permutation entropy. In this
Karsten Keller
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Kolmogorov–Sinai entropy from the ordinal viewpoint [PDF]
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 measurable map on a subset of the real numbers.
Karsten Keller, Mathieu Sinn
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Kolmogorov-Sinai Entropy Rate versus Physical Entropy
This paper elucidates the connection between the KS entropy-rate kappa and the time evolution of the physical or statistical entropy S. For a large family of chaotic conservative dynamical systems including the simplest ones, the evolution of S(t) for far-from-equilibrium processes includes a stage during which S is a simple linear function of time ...
Vito Latora
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The equality of Kolmogorov–Sinai entropy and metric permutation entropy generalized
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JOSÉ M Amigo
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