International Journal of Bifurcation and Chaos · 1993 · 89 citations · 0 references
Natural SciencesElectrical EngineeringDynamical SystemsSystem DynamicsTime Series AnalysisChaos TheoryNonlinear DynamicsChaos SynchronizationChaotic DynamicsRobustnessSynchronization Error AnalysisSynchronization Error ModelingSynchronization Of Chaotic SystemsSynchronization Robustness
Recent papers have demonstrated that synchronization in the Lorenz system is highly robust to additive perturbation of the drive signal. This property has led to a concept known as chaotic signal masking and recovery. This paper presents experiments and an approximate analytical model that quantify and explain the observed robustness of synchronization in the Lorenz system. In particular, we explain why speech and other narrowband perturbations can be recovered faithfully, even though the synchronization error is comparable in power to the message itself.