On resonances in systems of two weakly coupled oscillators |
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Authors: | A D Morozov R E Kondrashov |
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Institution: | (1) Department of Mathematics and Mechanics, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia |
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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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Keywords: | oscillators resonances cycles equilibrium attractors average |
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