DYNAMICAL MODES AND BIFURCATIONS OF TWO INTERACTING SYSTEMS WITH PHASE AND DELAY CONTROL

V. P. Ponomarenko, Research Institute of Applied Mathematics & Cybernetics, Nizhni Novgorod, Russia

SYNCHROINFO JOURNAL. Volume 5, Number 6 (2019). P. 6-9.

Abstract

Dynamical states and bifurcations are studied for the model of two coupled phase-locked and delay-lock systems. Numerical simulation of the equations, which describe the behavior of the system, reveals various periodic and chaotic oscillatory regimes. The regions with the state of synchronization, complex periodic and chaotic nonsynchronous regimes are found. Scenarios of development of nonsynchronous regimes are established under variation of the system parameters. Strong dependence of nonsynchronous regimes on control circuits parameters is found.

Keywords: interacting systems with phase control, nonlinear dynamics, synchronization, and chaos.

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