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.
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