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Generalized synchronization between coupled dynamical systems is a phenomenon of relevance in applications that range from secure communications to physiological modelling. Here we test the capabilities of reservoir computing and, in…

Chaotic Dynamics · Physics 2018-04-18 D Ibanez-Soria , J Garcia-Ojalvo , A Soria-Frisch , G Ruffini

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

We propose a technique for the design and analysis of decentralized adaptation algorithms in interconnected dynamical systems. Our technique does not require Lyapunov stability of the target dynamics and allows nonlinearly parameterized…

Optimization and Control · Mathematics 2007-05-23 Ivan Tyukin , Cees van Leeuwen

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

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 investigate the dynamics of an array of logistic maps coupled with random delay times. We report that for adequate coupling strength the array is able to synchronize, in spite of the random delays. Specifically, we find that the…

Chaotic Dynamics · Physics 2009-11-10 Cristina Masoller , Arturo C. Marti

Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain…

Dynamical Systems · Mathematics 2015-05-04 S. Emre Tuna

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

A new approach is proposed to the analysis of generalized synchronization of multidimensional chaotic systems. The approach is based on the symbolic analysis of discrete sequences in the basis of a finite T-alphabet. In fact, the symbols of…

Chaotic Dynamics · Physics 2015-07-19 A. V. Makarenko

We investigate the phenomenon of chaos synchronization in systems subject to coexisting autonomous and external global fields by employing a simple model of coupled maps. Two states of chaos synchronization are found: (i) complete…

Chaotic Dynamics · Physics 2022-01-19 O. Alvarez-Llamoza , M. G. Cosenza

The establishment of generalized chaotic synchronization in Ginzburg-Landau equations unidirectionally coupled at discrete points of space (local coupling) has been studied. It is shown that generalized syn-chronization regimes are also…

Chaotic Dynamics · Physics 2007-05-23 P. V. Popov , A. A. Koronovskii , A. E. Hramov

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 paper addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Anthony Couthures , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

We introduce a novel concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset…

Chaotic Dynamics · Physics 2013-02-19 Olga Moskalenko , Alexey Koronovskii , Alexander Hramov , Stefano Boccaletti

We investigate a transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces. We analyze the synchronization phenomenon in the ensemble of particles moving with friction in…

chao-dyn · Physics 2008-02-03 B. Kaulakys , F. Ivanauskas , T. Meskauskas

We describe synchronization transitions in an ensemble of globally coupled phase oscillators with a bi-harmonic coupling function, and two sources of disorder - diversity of intrinsic oscillatory frequencies and external independent noise.…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vladimir Vlasov , Maxim Komarov , Arkady Pikovsky

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with…

Plasma Physics · Physics 2009-11-11 Roman A. Filatov , Alexander E. Hramov , Alexey A. Koronovskii

The synchronization of loosely coupled chaotic oscillators, a phenomenon investigated intensively for the last two decades, may realize the philosophical notion of synchronicity. Effectively unpredictable chaotic systems, coupled through…

Chaotic Dynamics · Physics 2015-03-17 Gregory S. Duane

We investigate phase synchronization between two identical or detuned response oscillators coupled to a slightly different drive oscillator. Our result is that phase synchronization can occur between response oscillators when they are…

Chaotic Dynamics · Physics 2009-11-10 Dae-Sic Lee , Won-Ho Kye , Sunghwan Rim , Tae-Yoon Kwon , Chil-Min Kim