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Optimizing the Synchronization Parameters in Adaptive Models of Rössler system

One of the tasks in the development of chaos-based communication systems is choosing the synchronization parameters to achieve the minimum synchronization time. In this paper, we consider the possible solution to such an issue for synchronization of adaptive chaotic models. We propose a technique to determine adaptive symmetry and synchronization coefficients for the communication system based on the master/slave configuration. The presented approach involves estimating the synchronization time for various initial conditions and determining the optimal symmetry and synchronization coefficients using the average, minimum and maximum synchronizationtime for considered sets of values. The experimental results obtained for the Rössler system have shown that, in contrast to the synchronization coefficient, the symmetry coefficient does not significantly influence the synchronization time. Moreover, we discovered that thesynchronization of the adaptive models using the obtained parameters occurs faster than in previously proposed communication schemes based on the Rössler chaotic system. The described approach can be used to improve chaos-based communication schemes including embedded communication systems.