Abstract
Some properties of generalized synchronization (GS) in unidirectionally coupled chaotic systems are investigated. Depending on the coupling strength, the GS may appear in two different states called the weak synchronization (WS) and the strong synchronization (SS) characterized by a fractal (nonsmooth) and a smooth synchronization manifold, respectively. Experimentally, the GS and properties of the synchronization manifold can be detected either by an auxiliary response system or by estimating the conditional Lyapunov exponents from observed time series. Close to the threshold of WS coupled chaotic systems experience on-off intermittency. Unlike the conventional on-off intermittency, where the system dynamics is determined by escape of trajectories from an unstable smooth hyperplane, this intermittency is characterized by escape of trajectories from an unstable fractal manifold. Despite of this difference the main characteristics of both intermittencies are identical.
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