Achievements
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investigation of chaotic behavior of a system with delayed feedback, detecting the presence of different kinds of instability and studied influence of delay time on temporal intermittency
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research in analytical features of the averaging of local functional matrices, allowing improvement of calculation of characteristic exponents
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research in the method of modeling the dynamics of topological instability for an attractor reconstructed from time series, that provides information about the system (including optimal embedding)
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development of the validity proved by numerical calculations with both fractal multidimensional attractor sets and real time series (digitized electrocardiogram signal)
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development of robust algorithms for fractal analysis
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research in self organization processes in active media, preferably for activator-inhibitor systems