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Описываются результаты расчетов размерностей и поиска периодических траекторий по временным рядам метеорологических данных, рассматриваемых как реализации траекторий хаотической динамической системы.

Numerical modelling and detailed investigations of electron spatial stream structures induced by inhomogeneously distributed positive charge were carried out. For the random dictribution charges the resonant mechanism of electron structure formations is discussed.

Using nonautonomous nonlinear oscillator, we demonstrate the experimental approach, which permit to illustrate the role of unstability in complicated dynamics formation of nonlinear systems. The experimental system for observation of nonequi­librium processes is described, which permits to see on oscilloscop the unstable cycles in face space, to estimate the stability of states, to investigate the structure of chaotic attractors.

Using the functional reflection method the nonlinear dynamics of the TWT­generator with delayed feedback is considered. It is shown, that if the feedback factor is small, the region of linear stage beam-wave interaction assumes a character of narrow-band filter. So, the quasi-monochromatic signal is formed to the begining of the nonlinear stage of interaction. The resonance character of the beam instability leads to the strong dependence of the field dynamics on the instantaneous signal freguency.

A review of main results is given, concerning the Feigenbaum's scenario in the context of critical phenomena theory. Computer-generated illustrations of scaling are presented. Approximate renormalization group (RG) analysis is considered, allowing to obtain RG transformation in an explicit form. Examples of nonlinear systems are discussed, demonstrating this type of critical behaviour.

Wavelet transform is described as a new tool for investigation of data generated by the chaotic dynamic systems. Its usage is illustrated by the analysis of the temporal oscillation of the atmosphere zonal circulation index.

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