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Related papers: Chimera death induced by the mean-field diffusive …

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We study the collective behaviors in a ring of coupled nonidentical nonlinear oscillators with unidirectional coupling, of which natural frequencies are distributed in a random way. We find the amplitude death phenomena in the case of…

Chaotic Dynamics · Physics 2017-08-30 Jung-Wan Ryu , Jong-Ho Kim , Woo-Sik Son , Dong-Uk Hwang

We investigated interactions within chimera states in a phase oscillator network with two coupled subpopulations. To quantify interactions within and between these subpopulations, we estimated the corresponding (delayed) mutual information…

Adaptation and Self-Organizing Systems · Physics 2019-07-09 Nicolás Deschle , Andreas Daffertshofer , Demian Battaglia , Erik A. Martens

We study oscillation death (OD) in a well-known coupled-oscillator system that has been used to model cardiovascular phenomena. We derive exact analytic conditions that allow the prediction of OD through the two known bifurcation routes, in…

Adaptation and Self-Organizing Systems · Physics 2012-08-08 J. J. Suarez-Vargas , J. A. Gonzalez , A. Stefanovska , P. V. E. McClintock

Planar and linear arrays of SQUIDs (superconducting quantum interference devices), operate as nonlinear magnetic metamaterials in microwaves. Such {\em SQUID metamaterials} are paradigmatic systems that serve as a test-bed for simulating…

Pattern Formation and Solitons · Physics 2020-05-13 J. Hizanidis , N. Lazarides , G. P. Tsironis

We have investigated synchronized pattern in a network of Thomas oscillators coupled with sinusoidal nonlinear coupling. Pattern like chimera states are not only observed for many non-locally coupled oscillators but there is a signature of…

Adaptation and Self-Organizing Systems · Physics 2021-04-14 Vinesh Vijayan , Biplab Ganguli

Complex spatiotemporal patterns, called chimera states, consist of coexisting coherent and incoherent domains and can be observed in networks of coupled oscillators. The interplay of synchrony and asynchrony in complex brain networks is an…

Adaptation and Self-Organizing Systems · Physics 2019-06-20 Teresa Chouzouris , Iryna Omelchenko , Anna Zakharova , Jaroslav Hlinka , Premysl Jiruska , Eckehard Schöll

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

Chaotic Dynamics · Physics 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana

We consider an array of non-locally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonstrate that disorder in oscillators positions leads to a…

Pattern Formation and Solitons · Physics 2021-09-15 L. A. Smirnov , M. I. Bolotov , G. V. Osipov , A. Pikovsky

We show that coexisting domains of coherent and incoherent oscillations can be induced in an ensemble of any identical nonlinear dynamical systems using the nonlocal rotational matrix coupling with an asymmetry parameter. Further, chimera…

Chaotic Dynamics · Physics 2015-06-18 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

The instability of mixing in the Kuramoto model of coupled phase oscillators is the key to understanding a range of spatiotemporal patterns, which feature prominently in collective dynamics of systems ranging from neuronal networks, to…

Chaotic Dynamics · Physics 2022-02-23 Georgi S. Medvedev , Matthew S. Mizuhara

Many biological and chemical systems exhibit collective behavior in response to the change in their population density. These elements or cells communicate with each other via dynamical agents or signaling molecules. In this work, we…

Adaptation and Self-Organizing Systems · Physics 2019-09-11 Umesh Kumar Verma , Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial…

Pattern Formation and Solitons · Physics 2024-02-20 Zachary G. Nicolaou , Jason J. Bramburger

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera…

Chaotic Dynamics · Physics 2015-05-20 Chitra R Nayak , Neelima Gupte

We investigate oscillation death in systems of coupled nonlinear oscillators with feedback loop. We find that feedback results in oscillation death both in small sets or large ensembles. More importantly, the death zone in parameter space…

Adaptation and Self-Organizing Systems · Physics 2011-11-15 Ming Luo

Chimera dynamics is characterized by the coexistence of coherence and incoherence, arising from a symmetry-breaking mechanism. Extensive research has been performed in various systems, focusing on a system of Kuramoto-Sakaguchi (KS) phase…

Adaptation and Self-Organizing Systems · Physics 2023-10-24 Seungjae Lee , Katharina Krischer

The emergence and nature of amplitude mediated chimera states, spatio-temporal patterns of co-existing coherent and incoherent regions, are investigated for a globally coupled system of active and inactive Ginzburg-Landau oscillators. The…

Chaotic Dynamics · Physics 2019-01-25 Rupak Mukherjee , Abhijit Sen

We analyse the possible dynamical states emerging for two symmetrically pulse coupled populations of leaky integrate-and-fire neurons. In particular, we observe broken symmetry states in this set-up: namely, breathing chimeras, where one…

Disordered Systems and Neural Networks · Physics 2017-03-14 Simona Olmi , Alessandro Torcini

Over the past decades chimera states have attracted considerable attention given their unexpected symmetry-breaking spatio-temporal nature, simultaneously exhibiting synchronous and incoherent behaviours under specific conditions. Despite…

Dynamical Systems · Mathematics 2023-07-20 Luis Guillermo Venegas-Pineda , Hildeberto Jardón-Kojakhmetov , Ming Cao

We experimentally demonstrate that networks of identical photonic spiking neurons based on coupled degenerate parametric oscillators can show various chimera states, in which, depending on their local synchronization and desynchronization,…

The effect of stirring in an inhomogeneous oscillatory medium is investigated. We show that the stirring rate can control the macroscopic behavior of the system producing collective oscillations (synchronization) or complete quenching of…

Chaotic Dynamics · Physics 2009-11-10 Zoltan Neufeld , Istvan Z. Kiss , Changsong Zhou , Juergen Kurths
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