The mixing property is characterized by the metric entropy that is introduced by Kolmogorov for dynamical systems. The Kolmogorov entropy is infinite for a stochastic system. In this work a relative metric entropy is considered. The relative metric entropy allows to estimate the level of mixing in noisy dynamical systems. An algorithm for calculating the relative metric entropy is described and...

The coupled map lattices (CML) is a spatiotemporal chaotic system with complex dynamic behavior. In this paper, we propose novel pseudo-random coupling method based on elementary cellular automata (ECA), and introduce different perturbations into in each iteration according to ECA. We investigate the properties behaviors of proposed such as bifurcation diagrams, Kolmogorov Sinai entropy, unifor...

In this paper we have tested several general numerical methods in solving the quantum billiards, such as the boundary integral method (BIM) and the plane wave decomposition method (PWDM). We performed extensive numerical investigations of these two methods in a variety of quantum billiards: integrable systens (circles, rectangles, and segments of circular annulus), Kolmogorov-Armold-Moser (KAM)...

Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov-Sinai invariant is recovered on time scales that are logarithmic in the quantization parameter. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail.

The construction of a quantal Kolmogorov entropy that tends to the classical Kolmogorov entropy in the limit h -t 0 is discussed. The approach is to use sets of functions rather than disjoint partitions and involves the use of pseudo-differential operators.

Abstract Pseudo-random number generators (PRNGs) are one of the building blocks cryptographic methods and therefore, new improved PRNGs continuously developed. In this study, a novel method to generate pseudo-random sequences using coupled map lattices is presented. Chaotic maps only show their chaotic behaviour for specified range control parameters, what can restrict application in cryptograp...

In the past twenty years or so, three approaches to brand portfolio management strategies have emerged. The first approach is marketing. This associated with building a corporate portfolio. goal increase diversified cash flows by entering new market segments. second related competitive strategy of enterprise. A false intellectual property applications being created. Competitors are expected spe...

There is given a construction of the entropy of a dynamical system on arbitrary MV-algebra M. If M is the MV-algebra of characteristic functions of a σ-algebra (isomorphic to the σ-algebra), then the construction leads to the Kolmogorov Sinaj entropy. If M is the MV-algebra (tribe) of fuzzy sets, then the construction coincides with the Maličký modification of the Kolmogorov Sinaj entropy for f...

Information distance has become an important tool in a wide variety of applications. Various types of information distance have been made over the years. These information distance measures are different from entropy metric, as the former is based on Kolmogorov complexity and the latter on Shannon entropy. However, for any computable probability distributions, up to a constant, the expected val...