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Modelirovanie i Analiz Informatsionnykh Sistem, 2011, Volume 18, Number 1, Pages 46–55
(Mi mais163)
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Chaotic oscillations of a distributed system with infinite delay
A. Yu. Koverga, E. P. Kubishkin P. G. Demidov Yaroslavl State University
Abstract:
It is considered the dynamics of a distributed rotor from a material with nonlinear-hereditary properties, one of its supports being under a periodical vibration. The mathematical model of the considered mechanical system is a system of differential equations in partial derivatives with infinite delay of the argument. It is found the conditions of chaotic fluctuations. The Lyapunov indices and Lyapunov dimension are calculated.
Keywords:
infinite delay; distributed rotor; vibration; method of integrated varieties; theory of normal forms; Abelian kernel; bifurcation.
Received: 20.05.2010
Citation:
A. Yu. Koverga, E. P. Kubishkin, “Chaotic oscillations of a distributed system with infinite delay”, Model. Anal. Inform. Sist., 18:1 (2011), 46–55
Linking options:
https://www.mathnet.ru/eng/mais163 https://www.mathnet.ru/eng/mais/v18/i1/p46
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Abstract page: | 291 | Full-text PDF : | 114 | References: | 41 |
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