Abstract
A new phenomenon was considered – a cluster of chaotic oscillations, consisting of n homogeneous chaotic processes, at that inherent cluster mapping contains n2 mapping functions, of which: n – the number of mapping functions for homogeneous chaotic processes and n(n-1) – the number of transfer mapping functions through which the transition from one homogeneous chaotic process to another within a cluster is made. During the course of a single uniform chaotic process, an integral component of the cluster is formed, defined as the sum of the integer time intervals of continuity of developable function, which leads to the formation of fractal sequence of integers, which is characteristic for each homogeneous chaotic process. The inception of each homogeneous chaotic process is situated in the limited and specific time zone of the interval of continuity of developable function. The concrete parameters of the equations for which the observed clusters of chaotic oscillations are given. References 5, tebles 2, figures 9.
References
Brushko V.V., Zhuikov V.Ya. Chaotization of Dynamics of Stabilizator of Voltage with PWM // Tekhnichna Elektrodynamika. Tematychnyi vypusk "Sylova Elektronika I Enerhoefektyvnist". – 1999. – Part 3. – Pp. 115–118. (Rus)
Zhuikov V.Ya., Leonov A.O. Chaotic Processes in Electrical Systems. // Izvestiia Academii Nauk SSSR. Enerhetika i Transport. – 1991. – №1. – Pp. 121–127. (Rus)
Strzhelecki R., Koroteev I.E., Zhuikov V.Jа. Chaotic Processes in Systems of Power Electronics. – Kyiv: Avers, 2001. – 197 p. (Rus)
Berzhе P., Pomo I., Vidal' K. Order in Chaos. − Moskva: Mir, 1991. − 367 p. (Rus)
Korotyeyev I. Electrotechnical systems: calculation and analysis with Mathematica and PSpise. − CRC Press. − 2010.

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