Internal and external synchronization of self-oscillating oscillators with non- identical control parameters

Julia Emelianova

Saratov State University, Department of Nonlinear Processes, Saratov, Russian Federation

The particular properties of dynamics are discussed for dissipatively coupled van der Pol oscillators, nonidentical in values of parameters controlling the Hopf bifurcation. Possibility of a special synchronization regime in an infinitively long band between oscillator death and quasiperiodic areas is shown for such system. Features of the bifurcation picture are discussed for different values of the control parameters. Analysis of the slow-flow equations is presented.

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