Titlebook: Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems ; Ludmila A. Uvarova,Arkadii E. Arinst

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Evolution of the Dynamic Dissipative Systems as a Temporal “Colour” Fractald deterministic chaos.–.. In this paper a new phenomenological method for analysis of non-linear dissipative system dynamics, which may be called flicker-noise spectroscopy.–., is presented. An algorithm is developed which allows us to obtain as many phenomenological parameters — “passport data” — a

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Solitary Waves in Two-Component Resonantly Absorbing Media*s) are two kinds of optical pulses with the above property. Particle-like behavior is inherent to solitons which keep the shape of wave stable after collisions. This is similar to the elastic colliding of particles.

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Non-Linear Vector Model of the Internal DNA Dynamicsmics are of most interest because they permit us to imitate large amplitudes internal motions such as local unwinding of the double helix or conformation transitions which play an important role in the functioning of the molecule.

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The Dynamics of the Economic Society Structurems by methods of practiced in developed market economy have not lead to desirable results. One of the causes — and, from our point of view, the most important one — is the following: reforms are proceeded without taking into account peculiarities of the economic structures of the societies.

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Mathematical Model Nonlinear Heat Transfer in an Inhomogeneous Dispersible System (for example, electromagnetic nature). Such tasks immediately are connected to a problem of control by natural appearances and technological processes, in personally, with application of a laser engineering. The progress in a modern laser engineering, and also the successes in direction of deriving