Generalized synchronization and noise-induced synchronization: The same type of behavior of coupled chaotic systems

Generalized and noise-induced synchronization that introduced an additional dissipation in coupled chaotic systems and represented the same type of synchronous behavior, were investigated. The generalized synchronization of undirectionally coupled chaotic oscillators means the type of synchronous behavior such that of the state vectors of chaotic oscillators with continuous or discrete time. The regime of generalized synchronization between the chaotic oscillators may be detected with the use of the method of auxiliary system. The presence of generalized synchronization was confirmed by the dependence of the conditional Lyapunov exponent on the coupling parameter. It was shown that both synchronizations occur due to suppression of chaotic oscillators.