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arXiv · 1012.1758

Forced Nonlinear Resonance in a System of Coupled Oscillators

Sergei Glebov·Oleg Kiselev·Nikolai Tarkhanov
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Abstract

We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time $t \sim ε^{-2}$ one component of the system is described in the main by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes the behaviour of the envelope in the main. The analytic results agree to numerical simulations.

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Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov. 2010-12-08. Forced Nonlinear Resonance in a System of Coupled Oscillators. https://doi.org/10.1063/1.3578047

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