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Coupled oscillators can serve as a testbed for larger questions of pattern formation across many areas of science and engineering. Much effort has been dedicated to the Kuramoto model and phase oscillators, but less has focused on…

混沌动力学 · 物理学 2025-11-21 Emma R. Zajdela , Daniel M. Abrams

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

Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal…

混沌动力学 · 物理学 2017-05-29 Sarbendu Rakshit , Bidesh K. Bera , Matjaz Perc , Dibakar Ghosh

We investigate the emergence of different kinds of imperfect synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators. We find that the complete synchronization in population-I…

适应与自组织系统 · 物理学 2016-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

We study collective dynamics of networks of mutually coupled identical Lorenz oscillators near subcritical Hopf bifurcation. This system shows induced multistable behavior with interesting spatio-temporal dynamics including synchronization,…

混沌动力学 · 物理学 2022-07-20 Anjuman Ara Khatun , Yusra Ahmed Saeed , Nirmal Punetha , Haider Hasan Jafri

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

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…

适应与自组织系统 · 物理学 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

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…

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

Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled…

斑图形成与孤子 · 物理学 2025-10-22 Riccardo Muolo , Thierry Njougouo , Lucia Valentina Gambuzza , Timoteo Carletti , Mattia Frasca

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies…

斑图形成与孤子 · 物理学 2025-12-02 Pavel A. Shcherbakov , Lev A. Smirnov , Vasily A. Kostin , Maxim I. Bolotov , Grigory V. Osipov

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…

混沌动力学 · 物理学 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , Katharina Krischer

Reaction-diffusion (RD) mechanisms in chemical and biological systems can yield a variety of patterns that may be functionally important. We show that diffusive coupling through the inactivating component in a generic model of coupled…

斑图形成与孤子 · 物理学 2013-05-30 Rajeev Singh , Sitabhra Sinha

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics. This counterintuitive phenomenon was first observed in systems of identical oscillators with symmetric…

适应与自组织系统 · 物理学 2015-07-07 Iryna Omelchenko , Astero Provata , Johanne Hizanidis , Eckehard Schoell , Philipp Hoevel

We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled in a two-dimensional geometry. In this study, we show that the system under study demonstrates a plethora of different spatiotemporal structures…

适应与自组织系统 · 物理学 2020-09-22 I. A. Shepelev , S. S. Muni , T. E. Vadivasova

Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and incoherence. We discuss the appearance of the chimera…

Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by…

适应与自组织系统 · 物理学 2015-09-02 Iryna Omelchenko , Anna Zakharova , Philipp Hoevel , Julien Siebert , Eckehard Schoell

Chimera states in one-dimensional nonlocally coupled phase oscillators are mostly assumed to be stationary, but breathing chimeras can occasionally appear, branching from the stationary chimeras via Hopf bifurcation. In this paper, we…

适应与自组织系统 · 物理学 2020-06-05 Yusuke Suda , Koji Okuda

We identify the mechanism behind the existence of intensity induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This…

适应与自组织系统 · 物理学 2015-06-22 V. K. Chandrasekar , R. Gopal , A. Venkatesan , M. Lakshmanan

We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together…

混沌动力学 · 物理学 2015-06-16 Johanne Hizanidis , Vasilis Kanas , Anastasios Bezerianos , Tassos Bountis

More than a decade ago, a surprising coexistence of synchronous and asynchronous behavior called the chimera state was discovered in networks of nonlocally coupled identical phase oscillators. In later years, chimeras were found to occur in…

混沌动力学 · 物理学 2015-06-17 Tassos Bountis , Vasileios G. Kanas , Johanne Hizanidis , Anastasios Bezerianos