Effects of a parameter mismatch on the Synchronization of Two Coupled Chaotic oscillators

Considering two identical, coupled Rossler systems, the paper first examines the bifurcations through which low-periodic orbits embedded into the synchronized chaotic state lose their transverse stability and produce the characteristic picture of riddled basins of attraction. The paper hereafter addresses the issue of the robustness of the synchronized chaotic state to a mismatch of the parameter values between the two subsystems. It is shown that the synchronized state is shifted away from the symmetric manifold, and the magnitude of this shift is expressed in terms of the coupling strength and the mismatch parameter. Finally, the paper illustrates how similar phenomena can be observed in a system of two coupled chaotic oscillators describing the spiking behavior of biological cells.

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