Impact Factor

S. Boykova

Nozhny Novgorod, 603600, per. Gagarina,23
Nizhny Novgorod State University


Morozov A. D., Boykova S. A.
On the investigation of degenerate resonances
1999, vol. 4, no. 1, pp.  70-82
For periodic in time systems, close to the two-dimensional Hamiltonian ones, the problem of the topology of the neighbourhood of degenerate resonance levels is considered. The "truncated" system determining the topology of neighbourhood of degenerate level close to resonance level is conclusion. The behavior of the solutions of this system in dependence on the detuning is investigated and the bifurcations related to the transition from typical nonlinear resonance to degenerate resonance are determined (both in the case of impassable resonances and in the case of partly passable ones).
Citation: Morozov A. D., Boykova S. A.,  On the investigation of degenerate resonances, Regular and Chaotic Dynamics, 1999, vol. 4, no. 1, pp. 70-82

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