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...

In recent years synchronization of chaotic dynamics has received ever increasing attention. Herein, Cellular Neural Networks (CNNs) are considered as a tool for generating hyperchaotic behaviors. By exploiting a system theory approach, a technique for synchronizing a large class of CNNs is developed. In particular, a necessary and sufficient condition for hyperchaos synchronization is given, wh...

In this paper hyperchaos synchronization is restated as a nonlinear observer design issue. This approach leads to a systematic tool, which guarantees synchronization of a wide class of hyperchaotic systems via a scafar signal. By exploiting this result, we propose to combine conventional cryptographic methods and Jynchronization of chaotic circuits to design hyperchaos-based cryptosystems. This...

In this paper time-delay effects on the master–slave synchronization scheme are investigated. Sufficient conditions for master–slave synchronization of Lur’e systems are presented for a known time-delay in the master and slave systems. A delay-dependent synchronization criterion is given based upon a new Lyapunov–Krasovskii function. The derived criterion is a sufficient condition for global as...

The phenomena of intermittent and complete synchronization between two out three identical, magnetically coupled SQUIDs (Superconducting QUantum Interference Devices) are investigated numerically. highly nonlinear superconducting oscillators/devices that exhibit strong resonant tunable response to applied magnetic field(s). Single SQUID arrays technologically important solid state devices, they...

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...