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A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of…

Chaotic Dynamics · Physics 2023-04-17 Joseph D. Hart , Kanika Bansal , Thomas E. Murphy , Rajarshi Roy

For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the…

Chaotic Dynamics · Physics 2015-05-20 Fabian Böhm , Anna Zakharova , Eckehard Schöll , Kathy Lüdge

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

Chimera states, representing a spontaneous break-up of a population of identical oscillators that are identically coupled, into sub-populations displaying synchronized and desynchronized behavior, have traditionally been found to exist in…

Chaotic Dynamics · Physics 2015-06-18 Gautam C Sethia , Abhijit Sen

We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we have developed a real-time model-in-the-loop coupling…

Adaptation and Self-Organizing Systems · Physics 2020-10-08 Pezhman Ebrahimzadeh , Michael Schiek , Patrycja Jaros , Tomasz Kapitaniak , Stefan van Waasen , Yuri Maistrenko

Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these…

Chaotic Dynamics · Physics 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , Katharina Krischer

We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras, characterized by the coexistence of two coherent…

Chaotic Dynamics · Physics 2017-02-01 Yuri Maistrenko , Serhiy Brezetsky , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak

We show the existence of chimera-like states in two distinct groups of identical populations of globally coupled Stuart-Landau oscillators. The existence of chimera-like states occurs only for a small range of frequency difference between…

Adaptation and Self-Organizing Systems · Physics 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled biochemical oscillators. These systems are known to exhibit…

Pattern Formation and Solitons · Physics 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

The dynamics of a large array of coupled semiconductor lasers is studied for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatio-temporal pattern of co-existing coherence and incoherence. In laser systems,…

Pattern Formation and Solitons · Physics 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis

A non-autonomous dynamical system is proposed to study the synchronization in networks of mutually coupled optically modulated hyperchaotic CO$_2$ lasers. By the method of master stability function (MSF) it is shown that the stable…

Adaptation and Self-Organizing Systems · Physics 2020-01-27 A. Roy , A. P. Misra , S. Banerjee

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by…

Pattern Formation and Solitons · Physics 2009-11-13 Gautam C. Sethia , Abhijit Sen , Fatihcan M. Atay

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled Kuramoto--Sakaguchi oscillators in…

Pattern Formation and Solitons · Physics 2019-12-02 Seungjae Lee , Young Sul Cho

Chimera referring to a coexistence of coherent and incoherent states, is traditionally very difficult to control due to its peculiar nature. Here, we provide a recipe to construct chimera states in the multiplex networks with the aid of…

Adaptation and Self-Organizing Systems · Physics 2020-01-08 Saptarshi Ghosh , Leonhard Schülen , Ajay Deep Kachhvah , Anna Zakharova , Sarika Jalan

Synchronization of weakly-coupled non-linear oscillators is a ubiquitous phenomenon that has been observed across the natural sciences. We study the dynamics of optomechanical arrays - networks of mechanically compliant structures that…

Quantum Physics · Physics 2020-02-27 Karl Pelka , Vittorio Peano , André Xuereb

Chimera and Solitary states have captivated scientists and engineers due to their peculiar dynamical states corresponding to the co-existence of coherent and incoherent dynamical evolution in coupled units in various natural and artificial…

Adaptation and Self-Organizing Systems · Physics 2022-02-15 Niraj Kushwaha , Naveen Kumar Mendola , Saptarshi Ghosh , Ajay Deep Kachhvah , Sarika Jalan

Chimera states in spatially extended networks of oscillators have some oscillators synchronised while the remainder are asynchronous. These states have primarily been studied in networks with nonlocal coupling, and more recently in networks…

Pattern Formation and Solitons · Physics 2015-12-09 Carlo R. Laing

Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or…

Pattern Formation and Solitons · Physics 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2020-03-18 Joydeep Singha , Neelima Gupte
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