In this paper a variety of uncertainty phenomena in chaos synchronization, which are caused by the sensitive dependence on initial conditions and coupling strength, are numerically investigated. Two identical Chua’s circuits are considered for both mutuallyand unidirectionallycoupled systems. It is found that initial states of the system play an important role in chaos synchronization. Dependin...

the threshold of weak and strong synchronization in a coupled chaotic gaussian map isdemonstrated by using the pyragas’ terminology. however, vieira and lichtenberg have shown that thepyragas’ criteria for weak and strong synchronization cannot be used for all chaotic systems. in this articlewe demonstrated some interesting synchronization behavior of two coupled chaotic systems with some zeroa...

In this letter, a chaotic anti-synchronization (AS) scheme is proposed based on combining a nonlinear with lag-in-time observer design via a scalar signal. The necessary and sufficient conditions for antisynchronization of delay coupled systems are derived. Finally, numerical simulation results are presented to show the feasibility and effectiveness of the proposed anti-synchronization scheme, ...

In order to bridge between fractional-order and integer order nonlinear dynamical system, in this letter, we brings attention to synchronization and anti-synchronization between fractional-order chaotic system and integer-order chaotic system by using back-stepping method. And the sufficient conditions for achieving the synchronization and anti-synchronization of a class of fractional-order non...

To reveal the dynamical mechanism of anti-synchronization in complex networks with time delays, a general complex dynamical network with delayed nodes is introduced. Based on the Lyapunov stability theory, this paper presents the feedback controllers for anti-synchronization of complex delayed dynamical networks. Several sufficient conditions are drawn for the stability of the error dynamics an...

Synchronization phenomena in complex systems are important to describe various higher-dimensional nonlinear phenomena in the field of natural science. Studies on synchronization phenomena of coupled oscillators are extensively carried out in various fields; physics, biology, engineering and so on [1][4]. Because many researchers suggest that synchronization phenomena of coupled oscillators have...

Abstract. This paper investigates the synchronization and anti-synchronization behaviour of two identical double-hump Duffing-Van der Pol oscillator (DHDVP) evolving from different initial conditions using the active control technique based on the Lyapunov stability theory (LST) and the Routh-Hurwitz criteria (RHC). The designed controllers, with three different choices of the coefficient matri...