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2 910 (0,159s)

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Kolmogorov-Sinai Entropy and Lyapunov Exponents Related to Information and Transport Processes

Paper deals with the connecion between the Kolmogorov-Sinai entropy and Lyapunov exponents describing the microscopic dynamics of particle systems, and the quantities characterizing the macroscopic properties of the systems. The pro...

BD - Teorie informace

  • 2002
  • Jx
Result

Entropy of fractal systems

The Kolmogorov entropy is an important measure which describes the degree of the phase point on the attractor. Numerically, the Kolmogorov entropy can be estimated as the Rényi entropy. A special case of R...

CF - Fyzikální chemie a teoretická chemie

  • 2012
  • Jx
Result

Entropy of fractal systems

The Kolmogorov entropy is an important measure which describes the degree of the phase point on the attractor. Numerically, the Kolmogorov entropy can be estimated as the Rényi entropy. A special case of R...

CF - Fyzikální chemie a teoretická chemie

  • 2013
  • Jx
  • Link
Result

Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories

We study a nonlinear reaction-diffusion system in the unbounded domains. Using the method of short trajectories, we establish the existence of global attractor and estimate its Kolmogorov entropy....

BA - Obecná matematika

  • 2010
  • Jx
Result

Kolmogorov's epsilon-entropy of the attractor of the strongly damped wave equation in locally uniform spaces

An upper bound on the Kolmogorov's entropy of the locally compact attractor for strongly damped wave equation posed in locally uniform spaces in subcritical case is established using the method of trajectories....

Pure mathematics

  • 2017
  • D
Result

On the Uniqueness Theorem for Pseudo-Additive Entropies

entropies. By using the concept of Kolmogorov-Nagumo quasi-linear means, we prove. In particular, we point out that the ensuing entropy solutions (e.g., Tsallis entropy) can of explicit examples. Other salient iss...

Physical sciences

  • 2017
  • Jimp
  • Link
Result

Entropy of Fluidized Bed - a Measure of Particles Mixing.

The results show that the bubble phenomena play more important role in the mixing of non-expanding powders than in the case of expanding materials. The obtained expression for physical entropy was compared to the correlation suggested for th...

CI - Průmyslová chemie a chemické inženýrství

  • 2003
  • Jx
Result

Remarks on "Comments on 'On q-non-extensive statistics with non-Tsallisian entropy' " [Physica A 466 (2017) 160]

Recently in Ilic and Stankovic (2017) have suggested that there may be problem for the class of hybrid entropies introduced in Jizba and Arimitsu (2004). In this Comment rule and to a peculiar behavior of the De Finetti-Kolmogorov r...

Physical sciences

  • 2017
  • O
  • Link
Result

ATTRACTORS AND ENTROPY BOUNDS FOR A NONLINEAR RDES WITH DISTRIBUTED DELAY IN UNBOUNDED DOMAINS

A nonlinear reaction-diffusion problem with a general, both spatially and delay distributed reaction term is considered in an unbounded domain $R^N$. The existence of a unique weak solution is proved. A locally compact attractor together with ent...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Chaotic behavior in the time series of pollution concentration

and Kolmogorov entropy. If the correlation dimension is low, the largest Lyapunov exponent is positive and the Kolmogorov entropy has a finite positive value, chaos is probably, prediction, phase space reconstruct...

Applied mathematics

  • 2018
  • D
  • Link
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