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This article is cited in 2 scientific papers (total in 2 papers)
On Resonances in Systems of Two Weakly Coupled Oscillators
A. D. Morozov, R. E. Kondrashov Department of Mathematics and Mechanics,
Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia
Abstract:
Assuming that two weakly coupled oscillators are essentially nonlinear we construct the most suitable form of a shortened 3-dimensional system which describes behavior of solutions inside non-degenerate resonance zones. We analyze a model system of that kind and establish the existence of limit cycles of different types and also the existence of nonregular attractors which are explained by the existence of saddle-focus loops.
Keywords:
oscillators, resonances, cycles, equilibrium, attractors, average.
Received: 12.01.2009 Accepted: 19.02.2009
Citation:
A. D. Morozov, R. E. Kondrashov, “On Resonances in Systems of Two Weakly Coupled Oscillators”, Regul. Chaotic Dyn., 14:2 (2009), 237–247
Linking options:
https://www.mathnet.ru/eng/rcd549 https://www.mathnet.ru/eng/rcd/v14/i2/p237
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