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We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices. In this regime some part of the ensemble forms a…

混沌动力学 · 物理学 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

Study of collective phenomenon in populations of coupled oscillators are a subject of intense exploration in physical, biological, neuronal and social systems. Here we propose a scheme for the creation of chimera states, namely the…

混沌动力学 · 物理学 2019-03-08 Anjuman Ara Khatun , Haider Hasan Jafri

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

混沌动力学 · 物理学 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been widely found in nonlocally coupled oscillatory systems. We demonstrate for the first time that chimera states can emerge from…

适应与自组织系统 · 物理学 2017-05-04 Qionglin Dai , Mengya Zhang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

适应与自组织系统 · 物理学 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

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…

混沌动力学 · 物理学 2023-04-17 Joseph D. Hart , Kanika Bansal , Thomas E. Murphy , Rajarshi Roy

Chimera states have attracted significant attention as symmetry-broken states exhibiting the unexpected coexistence of coherence and incoherence. Despite the valuable insights gained from analyzing specific systems, an understanding of the…

适应与自组织系统 · 物理学 2021-03-10 Yuanzhao Zhang , Adilson E. Motter

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

动力系统 · 数学 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

混沌动力学 · 物理学 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

We have identified the existence of globally clustered chimera states in delay coupled oscillator populations and find that these states can breathe periodically, aperiodically and become unstable depending upon the value of coupling delay.…

适应与自组织系统 · 物理学 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These…

适应与自组织系统 · 物理学 2018-01-29 Gabriela Petrungaro , Koichiro Uriu , Luis G. Morelli

It has been shown that sets of oscillators in a modular network can exhibit a rich variety of metastable chimera states, in which synchronisation and desynchronisation coexist. Independently, under the guise of integrated information…

神经元与认知 · 定量生物学 2016-06-28 Pedro A. M. Mediano , Juan Carlos Farah , Murray Shanahan

We consider networks formed from two populations of identical oscillators, with uniform strength all-to-all coupling within populations, and also between populations, with a different strength. Such systems are known to support chimera…

混沌动力学 · 物理学 2019-08-28 Carlo R. Laing

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…

斑图形成与孤子 · 物理学 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay…

适应与自组织系统 · 物理学 2015-05-18 Jane H. Sheeba , V. K. Chandrasekar , 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…

斑图形成与孤子 · 物理学 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

In neuroscience, optics and condensed matter there is ample physical evidence for multistable dynamical systems, that is, systems with a large number of attractors. The known mathematical mechanisms that lead to multiple attractors are…

chao-dyn · 物理学 2007-05-23 R. Vilela Mendes

The coexistence of coherently and incoherently oscillating parts in a system of identical oscillators with symmetrical coupling, i.e., a chimera state, is even observable with uniform global coupling. We address the question of the…

混沌动力学 · 物理学 2015-02-23 Lennart Schmidt , Katharina Krischer

Chimera states consisting of domains of coherently and incoherently oscillating nonlocally-coupled phase oscillators in systems with spatial inhomogeneity are studied. The inhomogeneity is introduced through the dependence of the oscillator…

斑图形成与孤子 · 物理学 2015-06-23 Jianbo Xie , Hsien-Ching Kao , Edgar Knobloch

In a recent study of chaos synchronization in symmetric complex networks [Pecora \textit{et al}., Nat. Commun. {\bf 5}, 4079 (2014)], it is found that stable synchronous clusters may coexist with many non-synchronous nodes in the…

混沌动力学 · 物理学 2015-12-31 Weijie Lin , Huiyan Li , Heping Ying , Xingang Wang
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