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Synchronisation of the hyperchaotic complex Lorenz system in a finite time

In this paper, we investigate the finite-time chaos synchronisation of hyperchaotic complex Lorenz systems. The sufficient conditions for achieving the finite-time synchronisation of two chaotic systems are derived based on the theory of finite-time stability of dynamical systems. In fact, we propose a simple adaptive control method for realising chaos synchronisation in a finite time. It is shown that the technique introduced here can be further applied to various finite-time synchronisations between dynamical systems. Simulation results show the effectiveness of the proposed method.