Synchronizationmechanisms of resonant limit cycle on two-dimensional torus
Copyright policy )Synchronizationmechanisms of resonant limit cycle on two-dimensional torus
Summary: We investigate synchronization of a resonant limit cycle on a two dimensional torus by an external harmonic signal. The regime of resonant limit cycle is realized in a system of two coupled Van der Pol oscillators, we consider the resonances 1:1 and 1:3. We analyse the influence of the generators coupling strength. We show, that generally the effect of synchronization of a resonant limit cycle on torus is followed by the distruction of the resonance in the system, next one of the basic frequencies of the system becomes locked, and then another. We consider the bifurcation mechanism of synchronization effect.
- Leibniz Association Germany
- Saratov State University Russian Federation
- Potsdam-Institut für Klimafolgenforschung (Potsdam Institute for Climate Impact Research) Germany
- Potsdam Institute for Climate Impact Research Germany
Nonlinear dynamics in mechanics, limit cycle, Nonlinear oscillations and coupled oscillators for ordinary differential equations, torus, 530, synchronization, 510, saddle-node bifurcation
Nonlinear dynamics in mechanics, limit cycle, Nonlinear oscillations and coupled oscillators for ordinary differential equations, torus, 530, synchronization, 510, saddle-node bifurcation
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