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Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
Authors:Alexander P Kuznetsov
Institution:a Institute of Radio-Engineering & Electronics, Russian Academy of Sciences, Zelenaya 38, Saratov 410019, Russia
b Department of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410026, Russia
Abstract:The particular properties of dynamics are discussed for dissipatively coupled van der Pol oscillators, non-identical 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 and for the case of additional Duffing-type nonlinearity. Analysis of the slow-flow equations is presented.
Keywords:Synchronization  Van der Pol oscillators  Rotation number  Oscillator death
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