The impact of noise and disturbances on the synchronisation of chaotic models: a comparative analysis
摘要
This paper analyses the impact of noise and external perturbations on the synchronisation of strange attractors in chaotic systems. The synchronisation of these dynamics is complicated due to their sensitivity to initial conditions and becomes even more difficult in the presence of noise. The study examines different types and levels of noise, including white Gaussian noise, impulsive perturbations and non-stationary fluctuations. Through numerical simulations and analytical approaches, the robustness of synchronisation is assessed in various scenarios. The analysis distinguishes between the influence of internal noise, which directly modifies the dynamics, and that of external disturbances, which affect communication between coupled systems. The results show that noise often degrades synchronisation, but that adaptive strategies can strengthen resilience. This work paves the way for the design of more robust protocols, which are helpful for secure communications, control engineering and complex networks.