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math-ph2010★ 1 cited
Forced Nonlinear Resonance in a System of Coupled Oscillators
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time o…
nlin.SI2010★ 7 cited
Classification of integrable discrete Klein-Gordon models
Ismagil T. Habibullin, Elena V. Gudkova
The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is…
nlin.SI2010★ 5 cited
An algebraic method of classification of S-integrable discrete models
Ismagil T. Habibullin, Elena V. Gudkova
A method of classification of integrable equations on quad-graphs is discussed based on algebraic ideas. We assign a Lie ring to the equation and study the function describing the…