Chaos synchronization regimes in multiple-time-delay semiconductor lasers

This paper provides a report of chaos synchronization regimes which may be accessed in both unidirectionally and bidirectionally coupled multiple-time-delay semiconductor lasers. We demonstrate that in bidirectionally coupled multiple-time-delay lasers additional feedback can considerably enhance synchronization quality.

Generalized synchronization in time-delayed systems

We investigate the generalized synchronization between two unidirectionally linearly and nonlinearly coupled chaotic nonidentical Ikeda models and find existence conditions of the generalized synchronization. Also we study the chaos synchronization between nonidentical Ikeda models with variable feedback-delay times and find the existence and sufficient stability conditions for the retarded synchronization manifold with the coupling-delay lag time. Generalization of the approach to the wide class of nonlinear chaotic systems is also presented.

Synchronization in systems with multiple time delays

We report on chaos synchronization between two unidirectionally coupled chaotic systems with multiple time delays and find both the existence and stability conditions for anticipating, lag, inverse and complete synchronizations. The method is tested on the famous Ikeda model. Numerical simulations fully support the analytical approach.

Lag times and parameter mismatches in synchronization of unidirectionally coupled chaotic external cavity semiconductor lasers

We report an analysis of synchronization between two unidirectionally coupled chaotic external cavity master and slave semiconductor lasers with two characteristic delay times, where the delay time in the coupling is different from the delay time in the coupled systems themselves. We demonstrate that parameter mismatches in photon decay rates for the master and slave lasers can explain the experimental observation that the lag time is equal to the coupling delay time.

Inverse anticipating chaos synchronization

We derive conditions for achieving inverse anticipating synchronization where a driven time-delay chaotic system synchronizes to the inverse future state of the driver. The significance of inverse anticipating chaos in delineating synchronization regimes in time-delay systems is elucidated. The concept is extended to cascaded time-delay systems.

Parameter mismatches and perfect anticipating synchronization in bidirectionally coupled external cavity laser diodes

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.

Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback

We report the first experimental observation of anticipating chaotic synchronization in an optical system using two diode lasers as transmitter and receiver. The transmitter laser is rendered chaotic by application of an optical feedback in an external-cavity configuration. It is found that the anticipation time does not depend on the external-cavity round trip time of the transmitter.

Experimental verification of the synchronization condition for chaotic external cavity diode lasers

The synchronization condition obtained numerically by Ahlers, Parlitz, and Lauterborn [Phys. Rev. E 58, 7208 (1998)] is verified experimentally.

Boundedness of dynamical systems and chaos synchronization

Chaos synchronization in bounded dynamical systems is studied. We use boundedness of trajectories within the nonreplica approach to chaos synchronization and the Routh-Hurwitz criterion to propose a simple method to make negative conditional Lyapunov exponents. The method is tested on the classical Lorenz model.