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We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the…

Chaotic Dynamics · Physics 2011-03-29 I. Kanter , M. Zigzag , A. Englert , F. Geissler , W. Kinzel

We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric…

Hybrid chaos synchronization between ring-line networks topologies is explored on the example of Ikeda modeling, famous multidisciplinary system. It is established that high quality complete synchronization between constituent lasers is a…

Chaotic Dynamics · Physics 2025-06-09 Elman Shahverdiev

The synchronization behavior of delay coupled chaotic smooth unimodal maps over a ring network with stochastic switching of links at every time step is reported in this paper. It is observed that spatiotemporal synchronization never appears…

Chaotic Dynamics · Physics 2016-05-25 Mayurakshi Nag , Swarup Poria

Secure chaos based multiplex communication system scheme is proposed utilizing globally coupled semiconductor lasers with multiple variable time delay optoelectronic feedbacks.

Chaotic Dynamics · Physics 2011-11-08 E. M. Shahverdiev , K. A. Shore

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…

Chaotic Dynamics · Physics 2015-06-26 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

Crowd synchrony and quorum sensing arise when a large number of dynamical elements communicate with each other via a common information pool. Previous evidence in different fields, including chemistry, biology and civil engineering, has…

Optics · Physics 2015-05-20 Jordi Zamora-Munt , C. Masoller , Jordi Garcia-Ojalvo , Rajarshi Roy

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

Chaotic Dynamics · Physics 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized…

Chaotic Dynamics · Physics 2016-08-16 A. C. Martí , C. Masoller

Coupled lasers offer a promising approach to scaling the power output of photonic devices for applications demanding high frequency precision and beam coherence. However, maintaining coherence among lasers remains a fundamental challenge…

Disordered Systems and Neural Networks · Physics 2025-11-10 Ana Elisa D. Barioni , Arthur N. Montanari , Adilson E. Motter

We investigate chaos synchronization between Josephson junctions coupled uni-directionally with time-delay. We demonstrate the possibility of high quality synchronization with numerical simulations of such systems. The results are of…

Chaotic Dynamics · Physics 2015-06-09 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

Adaptation and Self-Organizing Systems · Physics 2022-05-11 Sergei A. Plotnikov

Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial…

Maximizing the rf bandwidth associated with the chaotic output from tailored operation of nonlinear semiconductor laser systems is an ongoing research effort. The early pioneering research was done in semiconductor laser with delayed…

Optics · Physics 2023-12-25 D M Kane , M Radziunas

Nonlinear networks with time-delayed couplings may show strong and weak chaos, depending on the scaling of their Lyapunov exponent with the delay time. We study strong and weak chaos for semiconductor lasers, either with time-delayed…

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

By studying the autocorrelation function of the optoelectronic feedback semiconductor laser output we establish that the signatures of time delays can be erased in systems incorporating modulated feedback time delays. This property is of…

Chaotic Dynamics · Physics 2009-06-17 E. M. Shahverdiev , K. A. Shore

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

Chaotic Dynamics · Physics 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel

We report the first experimental evidence of a successful synchronization of spatiotemporal chaos. The experiments were performed on two unidirectionally coupled, nonlinear-optical systems of single-feedback type. The synchronization was…

Pattern Formation and Solitons · Physics 2009-11-10 R. Neubecker , B. Guetlich

We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population…

Quantum Gases · Physics 2019-09-05 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan