A new synchronization theorem for a class of chaotic systems is presented in this paper. We take the last state variable of drive system as the driving scalar signal. Its linear feedback gain is a function of a free parameter. It is also proved that the global synchronization can be attained through simple linear output error feedback. This approach is illustrated by Chua's circuit and a 4D hyp...

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, a new general chaos synchronization scheme is proposed for coupled arbitrary 3-D quadratic chaotic dynamical systems in discrete-time. The proposed synchronization method, based on nonlinear controllers and Lyapunov stability theory, is theoretically rigorous. The derived synchronization criterion can be also applicable to a large class of discrete-time chaotic systems. Our contr...

Projective synchronization (PS), in which the state vectors synchronize up to a scaling factor, is usually observable only in partially linear systems. We show that PS could, by means of control, be extended to general classes of chaotic systems with nonpartial linearity. Performance of PS may also be manipulated by controlling the scaling factor to any desired value. In numerical experiments, ...