Motivated by the practical consideration of the measurement of chaotic signals in experiments or the transmission of these signals through a physical medium, we investigate the effect of filtering on chaotic symbolic dynamics. We focus on the linear, time-invariant filters that are used frequently in many applications, and on the two quantities characterizing chaotic symbolic dynamics: topologi...

In this paper, the two parameter ADK entropy, as a generalized of Re’nyi entropy, is considered and some properties of it, are investigated. We will see that the ADK entropy for continuous random variables is invariant under a location and is not invariant under a scale transformation of the random variable. Furthermore, the joint ADK entropy, conditional ADK entropy, and chain rule of this ent...

in synthetic aperture radar (sar) imagery, ship-sea contrast can be significantly improved when the polarimetric information is used, compared with information from a single channel sar. the constant false alarm rate (cfar) detection algorithm based on the alpha-stable (as) distribution model is a descent method for ship detection in sea. the most important step in this method is the parameter ...

This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an additional shape parameter is needed to add entrop...

We study the dependence of entropy solutions in the large for hyperbolic systems of conservation laws whose flux functions depend on a parameter vector μ. We first formulate an effective approach for establishing the L-estimate pointwise in time between entropy solutions for μ 6= 0 and μ = 0, respectively, with respect to the flux parameter vector μ. Then we employ this approach and successfull...

In the present study, the mixing of liquid phase in bubble column is analysed by an entropy theory. The Kolmogorov entropy factor depending on the operating parameter is estimated to evaluate the concentration profile of the solute dispersed in the dynamic two-phase system. The intensity of mixing is enunciated by the Kolmogorov entropy parameter and correlated with the degree of mixing in the ...

It is shown that in a stressed granular packing, the effect of the applied pressure and structural randomness on the contact force distribution can be described accurately by a variational principle of minimizing energy subject to the constraint of keeping entropy at a fixed value. The constraint on entropy may be regarded as a measure of the degree of retained disorderness in the system. This ...

For a continuous self-map T of a compact metrizable space with finite topological entropy, the order of accumulation of entropy of T is a countable ordinal that arises in the theory of entropy structure and symbolic extensions. Given any compact manifold M and any countable ordinal α, we construct a continuous, surjective self-map of M having order of accumulation of entropy α. If the dimension...

We give an explicit construction of a function that is almost a 2-source extractor for linear entropy, it is a condenser where the output has almost full entropy. Given 2 sources with entropy δn, the output of the condenser is a distribution on m-bit strings that is ǫ-close to having min-entropy m− poly(log(1/ǫ), 1/δ), where here m is linear in n.