aSaratov State University bRegional Research and Education Center "Mathematics of Future Technologies", Saratov, Russia
Abstract:
Method for the laminar and turbulent phase detection in coupled dynamical systems being near the boundary of the generalized synchronization regime based on the calculation of local Lyapunov exponents has been proposed. The efficiency of the method has been testified using the systems with unidirectional coupling allowing the analysis of intermittency by the auxiliary system approach. The results of both methods have been compared with each other, a good agreement between them has been obtained.
Keywords:generalized synchronization, local Lyapunov exponents, auxiliary system approach, intermittency.