Engineering synchronization of chaotic oscillators

Syamal Dana, E Padamanaban

We propose a general formulation of coupling for engineering synchronization in chaotic oscillators for unidirectional as well as bi-directional mode. In the synchronization regimes, it is possible to amplify or to attenuate a chaotic attractor with respect to other chaotic attractors. Numerical examples are presented for a Lorenz system, a Rössler oscillator, and a Sprott system. We physically realized the controller based coupling design in electronic circuits to verify the theory. We extended the theory to a network of coupled oscillators and provided a numerical example with four Sprott oscillators.

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