Roman Kondrashov
Nizhny Novgorod, 603950, Gagarin av., 23
Department of Mathematics and Mechanics,
Nizhny Novgorod State University
Publications:
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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.
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