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Related papers: Self adaptation of chimera states

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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…

Adaptation and Self-Organizing Systems · Physics 2021-03-10 Yuanzhao Zhang , Adilson E. Motter

The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony or…

Adaptation and Self-Organizing Systems · Physics 2013-07-29 Erik Andreas Martens , Shashi Thutupalli , Antoine Fourrière , Oskar Hallatschek

Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles, embedded in their state space may oscillate chaotically for a transient time before eventually transitioning into some stable attractor. We show that these…

Chaotic Dynamics · Physics 2023-07-14 Everton S. Medeiros , Oleh Omel'chenko , Ulrike Feudel

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

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…

Chaotic Dynamics · Physics 2017-05-29 Sarbendu Rakshit , Bidesh K. Bera , Matjaz Perc , Dibakar Ghosh

Chimera states in systems of nonlocally coupled oscillators, i.e., self-organized coexistence of coherent and incoherent oscillator populations, have attracted much attention. In this study, we consider the effect of frequency…

Adaptation and Self-Organizing Systems · Physics 2025-02-06 Petar Mircheski , Hiroya Nakao

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Malbor Asllani , Bram A. Siebert , Alex Arenas , James P. Gleeson

We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks…

Adaptation and Self-Organizing Systems · Physics 2021-02-12 M. G. Cosenza , O. Alvarez-Llamoza , A. V. Cano

Chimera states have been a vibrant subject of research in the recent past, but the analytical treatment of transitions from chimeras to coherent states remains a challenge. Here we analytically derive the necessary conditions for this…

Adaptation and Self-Organizing Systems · Physics 2019-08-07 Sarbendu Rakshit , Zahra Faghani , Fatemeh Parastesh , Shirin Panahi , Sajad Jafari , Dibakar Ghosh , Matjaz Perc

We study the dynamics of coupled systems, ranging from maps supporting chaotic attractors to nonlinear differential equations yielding limit cycles, under different coupling classes, connectivity ranges and initial states. Our focus is the…

Chaotic Dynamics · Physics 2019-12-05 Sudeshna Sinha

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…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

Symmetry breaking spatial patterns, referred to as chimera states, have recently been catapulted into the limelight due to their coexisting coherent and incoherent hybrid dynamics. Here, we present a method to engineer a chimera state by…

Chaotic Dynamics · Physics 2018-08-15 Saptarshi Ghosh , Sarika Jalan

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric…

Chaotic Dynamics · Physics 2015-02-19 Mark J. Panaggio , Daniel M. Abrams

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…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

Chimera states are spatiotemporal patterns in which coherence and incoherence coexist. We observe the coexistence of synchronous (coherent) and desynchronous (incoherent) domains in a neuronal network. The network is composed of coupled…

Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Erik A. Martens

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…

Chaotic Dynamics · Physics 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

The synchronization of self-propelled particles (SPPs) is a fascinating instance of emergent behavior in living and man-made systems, such as colonies of bacteria, flocks of birds, robot ensembles, and many others. The recent discovery of…

Adaptation and Self-Organizing Systems · Physics 2018-10-12 Nikita Kruk , Yuri Maistrenko , Heinz Koeppl

Many complex systems can be represented as networks of dynamical elements whose states evolve in response to interactions with neighboring elements, noise and external stimuli. The collective behavior of such systems can exhibit remarkable…

Statistical Mechanics · Physics 2015-09-23 Anand Pathak , Sitabhra Sinha

Chimera states -- named after the mythical beast with a lion's head, a goat's body, and a dragon's tail -- correspond to spatiotemporal patterns characterised by the coexistence of coherent and incoherent domains in coupled systems. They…

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