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Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Anti-resonance in the systems of nonlinear oscillators

Autors:
Margarita Kovaleva , Valeri Smirnov ,
Pages:
211–219
Annotation:

The anti-resonance phenomenon analogous to the Fano resonance in the classical system of two oscillators with nonlinearity is observed. The focus of the work is on the effects of nonlinearity in the system. The explicit form of the solution for the full nonlinear problem is obtained for the arbitrary type of the nonlinearity and in a wide range of the parameters. The results of the analytical study show very good agreement with the data of the direct numerical simulations. The peculiarities resulted from the multiplicity of the solutions are discussed. The paper was presented at PhysCon2024.

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