For citation:
Ponomarenko V. P., Matrosov V. V. Dynamical regimes and bifurcations of two interacting synhronizing systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 51-65. DOI: 10.18500/0869-6632-1999-7-6-51-65
Dynamical regimes and bifurcations of two interacting synhronizing systems
Dynamical states and bifurcation transitions are studied for the model of two coupled phase—locked and delay—locked systems. Both of the interacting systems exhibit only regular regimes of behavior. Numerical simulation of the equations which describe the dynamics of the system reveals various periodic and chaotic osciilatory regimes. The bifurcation diagram is determined, the regions with the state of phase synchronization, periodic and chaotic nonsynchronous regimes are found. Scenarios of development of nonsynchronous regimes are established under variation of the system parameters.
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