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E M Shahverdiev

Publications and source records attributed to E M Shahverdiev.

7 recordsLinked to original sources
PubMed2005

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.

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PubMed2004

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.

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PubMed2002

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.

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PubMed2002

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.

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PubMed2001

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.

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PubMed1999

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.

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