In this paper a method for synchronizing high dimensional chaotic systems is developed. The objective is to generate a linear error dynamics between the master and the slave systems, so that synchronization is achievable by exploiting the controllability property of linear systems. The suggested approach is applied to Cellular Neural Networks (CNNs), which can be considered as a tool for genera...

In this paper, we use a Generalized Hamiltonian systems approach to synchronize the time-delay-feedback Chua’s oscillator (hyperchaotic circuit with multiple positive Lyapunov exponents). Synchronization is thus between the transmitter and the receiver dynamics with the receiver being given by an observer. We apply this approach to transmit private analog and binary information signals in which...

In this paper identical and generalized synchronization and the complex dynamics of hyperchaotic circuits are exploited for designing reliable cryptosystems. Since chaotic additive masking, chaotic switching and chaotic parameter modulation methods can have a low degree of security, an attempt to overcome this drawback is made by utilizing hyperchaotic circuits which make available several chao...

In this paper a novel fractional-order hyperchaotic system is proposed. The chaotic properties of the system in phase portraits are analyzed by using linear transfer function approximation of the fractional-order integrator block. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Simulation results show that our scheme ...

This paper investigates the synchronization problem of a novel fractal-fractional (FF) orders’ hyperchaotic finance system with model uncertainty and external disturbance. Firstly, controller is designed to realize nominal FF-orders’ system. Secondly, suitable filer estimate disturbance, then, disturbance estimator- (UDE-) based control method proposed such Finally, numerical simulations are ca...

In a three-dimensional dissipative chaotic system circuit, by superimposing cubic magnetron-type memristor and connecting feedback new four-dimensional synchronous controlling is established. The control parameters have significant impact on the system, displays rich dynamic features such as hyperchaos, chaos, period states. At same time, synchronization scheme for designed based linear quadrat...