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Information × Registration Number 0202U000626, 0100U004497 , R & D reports Title Chaotic phenomena in nonlinear dynamical distributed system popup.stage_title Head Vavriv Dmytro Mykhajlovych, Registration Date 18-02-2002 Organization Institute of Radio Astronomy of Sciences of Ukraine popup.description2 Object of research - distributed nonlinear dynamical systems, their stability, natural and forced oscillations. The purpose of the work is the development of methods of research for the distributed dynamical systems both theoretical and experimental researches of specific dynamical systems, incuding tectonic plates, electronic vacuum tubes, sea surface. In the report the results of research on development of methods for the analysis of the distributed dynamical systems, and also on research of a lot of specific dynamical systems with chaotic behaviour are submitted. In particular, has received development a method wavelet transformations for the analysis of chaotic signals and images. The effective methods and algorithms allowing to carry out the detailed analysis of multiscale signals and the images are developed. These results are applied for the analysis of the radar-tracking images, that has allowed to increase their contrast and to filter high-frequency noise. The method for the analysis of inter action low and high-frequency modes in nonlinear dynamical systems with three-modes interaction is advanced. The research of this interaction is fulfilled within the framework of the generalized Duffing equation with application of a method of multiscale averaging. At research of the specific distributed systems the analysis of chaotic dynamics interaction tectonic plates, electron-wave interaction in magnetrons on spatial harmonics and quasi-optical klinotrons, dispersion of waves on a sea surface is carried out at presence of oil spillages. As a result of the analysis of dynamics tectonic plates the advanced model of occurrence of earthquakes taking into account two-dimensional moving of plates and realistic law of friction is offered. Mathematical model of magnetrons on spatial harmonics is developed for the first time. The model takes into account in the self-coordinated production electron-wave interaction in view of secondary issue electrons.Tthe analysis of non-stationary processes and multy-modes in teraction in magnetrons is carried out within the framework of this model. The experimental and theoretical research of klinotrons - vacuum tubes with the distributed interaction of an electromagnetic field of slowing system with an electronic beam, disperced on this system is fulfilled. The optimization of parameters of such tubes is carried out, and also the system quasi-optic output of energy is advanced. The approach to research of dispersion of electromagnetic signals on a sea surface with the account fine and large-scale waves without the assumption about smallness of characteristic amplitudes of superficial waves is offered. The theory takes into account the final sizes of an irradiated surface, and also the possibilty of the presence of a petroleum film on it. The received results allow essentially to increase reliability of methods of detection oil films on a surface of the sea using air-borne radars. Product Description popup.authors popup.nrat_date 2020-04-02 Close