Geodesic
Chaotic oscillations of a distributed system with infinite delay
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 46-55

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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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     title = {Chaotic oscillations of a distributed system with infinite delay},
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     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a4/}
}
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A. Yu. Koverga; E. P. Kubishkin. Chaotic oscillations of a distributed system with infinite delay. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 46-55. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a4/