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ISSN 2542-1905 (Online)

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Shcherbinin S. A., Goncharov P. P., Chechin G. M. Investigation of stability of nonlinear normal modes in electrical lattices. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 34-51. DOI: 10.18500/0869-6632-2013-21-2-34-51

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Investigation of stability of nonlinear normal modes in electrical lattices

Shcherbinin Stepan Aleksandrovich, Southern Federal University
Goncharov Petr Petrovich, Southern Federal University
Chechin Georgij Mihajlovich, Southern Federal University

The problems of existence and stability of the symmetry-induced nonlinear normal modes in the electric chain of non-linear capacitors, connected to each other with linear inductors (the model described in Physica D238 (2009) 1228) are investigated. For all modes of this type, the upper limit of the stability region (in amplitude of voltage oscillations on capacitors) as a function of the chain cell number were found. Asymptotic formulas were determined at cell number tends to infinity.

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