Under the existence of system uncertainties and external disturbances, complete synchronization and anti-synchronization between two identical or different hyperchaotic systems are investigated in the paper. Firstly, an active control is used to eliminate the nonlinear part of the error. Then the sliding mode controller is designed based on suitable sliding surface. After that the adaptive upda...

We construct for the first time a fractional-order hyperchaotic system via original integer-order system. The dynamical behavior of this is investigated in detail using approximation method and Lyapunov exponents. Next, an adaptive control strategy univariate controlled has been proposed. Also, tracking performance fully taken into account numerous applications, instance, sinusoidal periodic si...

We present the new effect of phase synchronization of weakly coupled self-sustained chaotic oscillators. To characterize this phenomenon, we use the analytic signal approach based on the Hilbert transform and partial Poincaré maps. For coupled Rössler attractors, in the synchronous regime the phases are locked, while the amplitudes vary chaotically and are practically uncorrelated. Coupling a c...