Networks of nonlinear units coupled by time-delayed signals can show chaos. In the limit of long delay times, chaos appears in two ways: strong and weak, depending on how the maximal Lyapunov exponent scales with the delay time. Only for weak chaos, a network can synchronize completely, without time shift. The conditions for strong and weak chaos and synchronization in networks with multiple de...

In this paper, a chaos control and synchronization technique is presented. The proposed technique is applied to achieve both control and synchronization for some autonomous chaotic dynamical systems. Numerical simulations are used to show the effectiveness of the proposed technique.

We study perfect chaos synchronization between two bidirectionally coupled external cavity semiconductor lasers and demonstrate that mismatches in laser photon decay rates can explain the experimentally observed anticipating time in synchronization.

The problem of hybrid chaos synchronization is investigated, where a digital response subsystem is designed to synchronize with an analog drive subsystem. The approach taken is a new prediction-based digital redesign for a continuous-time observer embedded in the response via an optimal linearization approach of the nonlinear chaotic systems. Three typical but topologically quite different chao...

In the present paper, Linear Quadratic Regulator (LQR) and dual properties are employed to solve the observer-based synchronization problem. The synchronization is designed for nominal chaotic system, then it is applied to systems with uncertain parameters and systems with time-delays to investigate its tolerance to such systems. Moreover, to solve the nonlinear problem, which exist in chaotic ...