Synchronization dynamics of coupled van der Pol systems

We investigate the dynamic processes of synchronizing chaotic van der Pol systems driven by periodic force. For a given set of rate parameters, a driven oscillator could possess two types of chaotic attractor. Different initial condition results in the appearance of two trajectories which have inversion symmetry with respect to each other. Attraction basins of these two degenerate attractors are derived numerically. Possibilities of synchronizing same and different chaotic trajectories are probed. We investigate carefully the transient processes preceding to synchronization. With appropriate criterion, we define and obtain the synchronization domain in the coupling parameter space.

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