Information-wave theory of structures and systems

Abstract

The bases of the developed by the author information-wave theory of interaction of structures and systems are briefly stated. Basing on the belief about collection of interacting identical structures as on the wave, manage to build sufficiently general classification of waves, structures and systems, allowing not only consider from united positions wave, vortex and multiple (mushroom) structures and their transformations, as well as understand main regularities of forming and development of hierarchical is transport-information systems, which classification and qualitative study is executed in work. Particularities of interaction of vortexes, waves and structures are investigated. Dynamics of interaction of structures and systems is presented in the manner of the graph, in which one of the coordinates is a time, and nodes are “occasions” — acts of interaction, as a result of which occurs a qualitative transformation of structures, in them participating. Mathematical modeling of dynamic and information features of interacting systems is realized with using of the complex functions and operators. Executed theoretical research allowed to explain a number of new physical phenomena, discovered at the study of motion of asymmetrical bodies in the continuous medium, as resonance wave interaction of vortex and mushroom structures with dispersing waves, appearing under their motion (vortex-wave resonance). At the vortex-wave resonance, there are not only observed anomalous great disturbances of the parameters of flow, the new types of stable structures, not observing at usual conditions are formed. Vortex-wave resonance is one of the most important ways of structurization in continuous media.