Abstract
Abstract Chaotic synchronization, as a key technique of chaotic secure communication, has received much attention in recent years. This paper proposes a nonlinear synchronization scheme for the time-delay chaotic system in the presence of noise. In this scheme, an integrator is introduced to suppress the influence of channel noise in the synchronization process. The experimental results demonstrate the effectiveness and feasibility of the proposed scheme which is strongly robust against noises, especially the high-frequency noises.
Highlights
Since Mackey and Glass firstly found chaos in timedelay system1, there has been increasing attentions to the researches on the time-delay chaotic systems2-4
We study the influence of channel noise on the observer-based synchronization of timedelay chaotic systems and find that the synchronization error fails to converge at zero in the presence of noise
In order to improve the synchronization performance of time-delay chaotic system, we introduce the integrators, which are like low-pass filters, to suppress the noises18,19
Summary
Since Mackey and Glass firstly found chaos in timedelay system, there has been increasing attentions to the researches on the time-delay chaotic systems. The effect of the noise on dynamical systems has been a fundamental issue in nonlinear and statistical physics. Noise is not beneficial to chaotic synchronization most of the time. We study the influence of channel noise on the observer-based synchronization of timedelay chaotic systems and find that the synchronization error fails to converge at zero in the presence of noise. In order to reduce the effects of channel noise, we introduce integrators to suppress noise and propose a novel synchronization scheme for the synchronization of time-delay chaotic systems. Under different frequencies of the noises, a lot of simulations are provided to verify the effectiveness and feasibility of the developed method. Simulation results show that the proposed method can successfully suppress the effects of high-frequency noise
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