Chaotic oscillations of a distributed system with infinite delay
A. Yu. Koverga, E. P. Kubishkin
P. G. Demidov Yaroslavl State University
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.
infinite delay; distributed rotor; vibration; method of integrated varieties; theory of normal forms; Abelian kernel; bifurcation
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A. Yu. Koverga, E. P. Kubishkin, “Chaotic oscillations of a distributed system with infinite delay”, Model. Anal. Inform. Sist., 18:1 (2011), 46–55
Citation in format AMSBIB
\by A.~Yu.~Koverga, E.~P.~Kubishkin
\paper Chaotic oscillations of a distributed system with infinite delay
\jour Model. Anal. Inform. Sist.
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