title: Forced nonlinear resonance in a system of coupled oscillators.
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∼ɛ(-2) one component of the system is described for the most part by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes for the most part the behavior of the envelope in a special case. The analytic results agree with numerical simulations.
authors: Ufa State Petroleum Technical University, 1 Kosmonavtov St., 450062 Ufa, Russia. glebskie@gmail.com
authors: Sergei
authors: S
authors: Glebov
authors: Oleg
authors: O
authors: Kiselev
authors: Nikolai
authors: N
authors: Tarkhanov