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2013
Impact Factor

Roman Kondrashov

Nizhny Novgorod, 603950, Gagarin av., 23
Department of Mathematics and Mechanics, Nizhny Novgorod State University

Publications:

Morozov A. D., Kondrashov R. E.
On Resonances in Systems of Two Weakly Coupled Oscillators
2009, vol. 14, no. 2, pp.  237-247
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
Citation: Morozov A. D., Kondrashov R. E.,  On Resonances in Systems of Two Weakly Coupled Oscillators, Regular and Chaotic Dynamics, 2009, vol. 14, no. 2, pp. 237-247
DOI:10.1134/S156035470902004X

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