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Bushes of normal modes - new dynamical objects in nonlinear mechanical systems with discrete symmetry

George M. Chechin, Alexandr V. Gnezdilov, Vladimir P. Sakhnenko, Mikhail Yu. Zekhtser

cond-matarXiv:cond-mat/0111476

Abstract

Bushes of normal modes represent exact mathematical objects describing specific dynamical regimes in nonlinear mechanical systems with point or space symmetry. In the present paper, we outline the bush theory and illustrate it with some bushes of small dimensions in octahedral mechanical structures.

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