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E. M. Shahverdiev

Publications and source records attributed to E. M. Shahverdiev.

32 records · Page 2Linked to original sources
arXiv2004

Adaptive time-delay hyperchaos synchronization in laser diodes subject to optical feedback(s)

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we demonstrate that when these parameters are not available on-line parameter estimation can be applied.Generalisation of the approach to the multi-feedback systems is also presented.

nlin.CD↗
arXiv2004

Parameter mismatches,variable delay times and synchronization in time-delayed systems

We investigate synchronization between two unidirectionally linearly coupled chaotic non-identical time-delayed systems and show that parameter mismatches are of crucial importance to achieve synchronization. We establish that independent of the relation between the delay time in the coupled systems and the coupling delay time, only retarded synchronization with the coupling delay time is obtained. We show that with parameter mismatch or without it neither complete nor anticipating synchronization occurs. We derive existence and stability conditions for the retarded synchronization manifold. We demonstrate our approach using examples of the Ikeda and Mackey-Glass models. Also for the first time we investigate chaos synchronization in time-delayed systems with variable delay time and find both existence and sufficient stability conditions for the retarded synchronization manifold with the coupling delay lag time. Also for the first time we consider synchronization between two unidirectionally coupled chaotic multi-feedback Ikeda systems and derive existence and stability conditions for the different anticipating, lag, and complete synchronization regimes.

nlin.CD↗
arXiv2002

Lag time 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/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 for the first time 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.

nlin.CD↗
arXiv2001

Analytical Investigation of Anticipating Synchronization in time-delayed and Cascaded Systems

For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability conditions for the dual-time anticipating synchronization manifold. We also show that increased anticipation times for chaotic time-delay systems with two characteristic delay times can be obtained by the use of cascaded systems.

nlin.CD↗
arXiv2001

Dual and Dual-Cross Synchronizations in Chaotic Systems

In this paper we investigate dual synchronization and dual-cross synchronization between the transmitter and receiver, each one consisting of two master and slave systems. These findings are considered to be of interest in multichannel communication schemes.

nlin.CD↗
arXiv2001

Inverse Anticipating Synchronization

We report a new type of chaos synchronization:inverse anticipating synchronization, where a time delay chaotic system can drive another system in such a way that the driven system anticipates the driver by synchronizing with its inverse future state. We extend the concept of inverse anticipating chaos synchronization to cascaded systems. We propose means for the experimental observation of inverse anticipating chaos synchronization in external cavity lasers.

nlin.CD↗
arXiv2001

Exact Lag Synchronization in Time Delay Systems and Why Experimental Lag Times Can Differ from Theoretical Predictions

We present analytical investigation of exact lag synchronization between two unidirectionally coupled identical time delay systems with two characteristic delay times, where the delay time in the coupling is different from the delay time in the coupled systems themselves. For the first time we demonstrate that parameter mismatches can explain the experimental observation that the lag time is equal to the coupling delay.

nlin.CD↗
arXiv2001

Exact anticipating synchronization in bi-directionally coupled time-delayed systems

We present an analytical investigation of exact anticipating synchronization between two bi-idirectionally coupled time-delayed systems in the case when these systems are governed by two characteristic times: the delay time in the coupling and the delay time in the coupled systems. We apply our approach to interpret the results of recent first experimental observation of anticipating chaos synchronization in external cavity semiconductor lasers with optical feedback.We establish that our approach can explain the experimental results only for special cases.

nlin.CD↗
arXiv1999

The Lorenz model as a singularly perturbed nonlinear system

A method of expansion of solutions of singularly perturbed nonlinear systems in power series of small parameters is applied to the popular Lorenz model in synergetics.Simple asymptotic expressions for the solution to the model in consideration is obtained for some extreme cases.The times for achieving of quasistationary and stationary states are estimated.

chao-dyn↗
arXiv1998

Hyperchaos synchronization with a zero driving variable

For the first time an example of hyperchaos synchronization with a zero driving variable using the system's parameters changes, proposed by L.Zonghua and C.Shigang (Phys.Rev.E, 55, 6651 (1997)) is presented. Also it has been indicated that in the case of a single variable driving put forward by A.Tamasevicius and A.Cenys, Phys.Rev.E, 55, 297 (1997) such an approach allows one to avoid the threshold effect on the value of the parameter responsible for the "weight" (intensity) of nonreplica approach to the chaos synchronization proposed by M.Ding and E.Ott, Phys.Rev.E,49, R945 (1994).

chao-dyn↗
arXiv1998

Marginal hyperchaos synchronization with a single driving variable

For the first time an example of marginal hyperchaos synchronization with a single driving variable within the replica approach is presented. It has been demonstrated that in some cases one can perform hyperchaos synchronization only using the fact of positiveness of even part of nonlinear system's parameter.

chao-dyn↗
arXiv1998

A simple method of chaos control

A simple method to perform chaos control without the need of complex numerical and analytical calculations is proposed. The method works for dynamical systems with bounded solutions and in the trivial case of constant Jacobians.

chao-dyn↗