Chaos synchronisation of electro‐optical chaotic systems with partially different parameters

Abstract

The authors proposed a chaos synchronisation method for electro-optical chaotic systems with partially different system parameters. This synchronisation method can not only effectively improve the robustness of synchronisation but also ensure transmission security. According to the Lyapunov stability theorem, the authors analysed the chaos synchronisation between two electro-optical chaotic systems with partially different system parameters, and provided sufficient conditions to realise stable zero-lag chaos synchronisation. The authors also designed simple and realisable adaptive control functions that met the sufficient conditions. Finally, the chaos synchronisation of electro-optical chaotic systems with partially different system parameters was numerically investigated. The results showed that the adaptive control functions can greatly improve the synchronisation performance in such a sender–receiver setup. The numerical results were highly consistent with theoretical results.