Nizhny Novgorod, 603950, Gagarin av., 23
Department of Mathematics and Mechanics, Nizhny Novgorod State University
Morozov A. D., Kondrashov R. E.
On Resonances in Systems of Two Weakly Coupled Oscillators
2009, vol. 14, no. 2, pp. 237-247
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.