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Here we study the emergence of chimera states, a recently reported phenomenon referring to the coexistence of synchronized and unsynchronized dynamical units, in a population of Morris-Lecar neurons which are coupled by both electrical and…

Adaptation and Self-Organizing Systems · Physics 2020-03-05 Ali Calim , Joaquin J. Torres , Mahmut Ozer , Muhammet Uzuntarla

Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recently-introduced notion of a weak…

Dynamical Systems · Mathematics 2016-10-10 Christian Bick , Peter Ashwin

Spiral waves are investigated in oscillatory media exhibiting period-doubling bifurcations. In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken. The loss of symmetry takes the form of…

chao-dyn · Physics 2009-10-30 Andrei Goryachev , Hugues Chate , Raymond Kapral

About two decades ago it was discovered that systems of nonlocally coupled oscillators can exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions. Since then such patterns, called chimera states, have been…

Adaptation and Self-Organizing Systems · Physics 2022-01-11 Oleh Omel'chenko

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…

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 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…

Chaotic Dynamics · Physics 2019-08-28 Carlo R. Laing

Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations.…

Pattern Formation and Solitons · Physics 2023-08-15 Erik A. Martens , Mark J. Panaggio , Daniel M. Abrams

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

Chimera states are characterized by the symmetry-breaking coexistence of synchronized and incoherent groups of oscillators in certain chains of identical oscillators. We report on the direct experimental observation of states reminiscent of…

Pattern Formation and Solitons · Physics 2017-03-14 L. Q. English , A. Zampetaki , P. G. Kevrekidis , K. Skowronski , C. B. Fritz , Saidou Abdoulkary

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…

Adaptation and Self-Organizing Systems · Physics 2016-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

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

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…

Adaptation and Self-Organizing Systems · Physics 2018-01-29 Gabriela Petrungaro , Koichiro Uriu , Luis G. Morelli

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

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…

Pattern Formation and Solitons · Physics 2013-05-30 Rajeev Singh , Sitabhra Sinha

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Arturo Buscarino , Mattia Frasca , Lucia Valentina Gambuzza , Philipp Hovel

Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual…

Chaotic Dynamics · Physics 2016-10-27 Saptarshi Ghosh , Sarika Jalan

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

Pattern formation in ultra-cold quantum systems has recently received a great deal of attention.In this work, we investigate a two-dimensional model system accounting for the dynamics of trapped ions. We find a novel spiral wave which is…

Chaotic Dynamics · Physics 2015-05-30 Yuting Li , Haihong Li , Yun Zhu , Mei Zhang , Junzhong Yang

We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we…

Disordered Systems and Neural Networks · Physics 2020-02-28 Yuanzhao Zhang , Zachary G. Nicolaou , Joseph D. Hart , Rajarshi Roy , Adilson E. Motter