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We report the emergence of a collective dynamical state, namely phase-flip chimera, from an en- semble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 V. K. Chandrasekar , R. Gopal , D. V. Senthilkumar , M. Lakshmanan

We investigate two types of chimera states, i.e., patterns consisting of coexisting spatially separated domains with coherent and incoherent dynamics, in ring networks of Stuart-Landau oscillators with symmetry-breaking coupling, under the…

Adaptation and Self-Organizing Systems · Physics 2016-01-27 Sarah A. M. Loos , Jens Christian Claussen , Eckehard Schöll , Anna Zakharova

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an…

Chaotic Dynamics · Physics 2018-11-26 A. V. Cano , M. G. Cosenza

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

We investigate the significance of nonisochronicity parameter in a network of nonlocally coupled Stuart-Landau oscillators with symmetry breaking form. We observe that the presence of nonisochronicity parameter leads to structural changes…

Chaotic Dynamics · Physics 2016-05-18 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Chimera states, which consist of coexisting domains of coherent and incoherent parts, have been observed in a variety of systems. Most of previous works on chimera states have taken into account specific form of interaction between…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang

We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ…

Chaotic Dynamics · Physics 2017-04-05 A. V. Cano , M. G. Cosenza

Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of…

Adaptation and Self-Organizing Systems · Physics 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

We investigate the effect of repulsive coupling together with an attractive coupling in a network of nonlocally coupled oscillators. To understand the complex interaction between these two couplings we introduce a control parameter in the…

Adaptation and Self-Organizing Systems · Physics 2018-04-04 K. Sathiyadevi , V. K. Chandrasekar , D. V. Senthilkumar , 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

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…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

We show that chimera patterns can be induced by noise in nonlocally coupled neural networks in the excitable regime. In contrast to classical chimeras, occurring in noise-free oscillatory networks, they have features of two phenomena:…

Adaptation and Self-Organizing Systems · Physics 2016-11-11 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by…

Pattern Formation and Solitons · Physics 2009-11-13 Gautam C. Sethia , Abhijit Sen , Fatihcan M. Atay

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-balanced chimera state, where the totals of synchronized and…

Chaotic Dynamics · Physics 2015-05-22 Sindre W. Haugland , 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…

Pattern Formation and Solitons · Physics 2015-06-23 Jianbo Xie , Hsien-Ching Kao , Edgar Knobloch

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one…

Adaptation and Self-Organizing Systems · Physics 2018-02-09 Andrei V. Bukh , Galina I. Strelkova , Vadim S. Anishchenko

Chimera states occur in networks of coupled oscillators, and are characterized by having some fraction of the oscillators perfectly synchronized, while the remainder are desynchronized. Most chimera states have been observed in networks of…

Chaotic Dynamics · Physics 2015-05-19 Carlo R. Laing

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We study chimera states in a network of non-locally coupled Stuart-Landau oscillators. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Peter Kalle , Jakub Sawicki , Anna Zakharova , Eckehard Schöll

We analyze the consequences of symmetry breaking in the coupling in a network of globally coupled identical Stuart-Landau oscillators. We observe that symmetry breaking leads to increased disorderliness in the dynamical behavior of…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which…

Adaptation and Self-Organizing Systems · Physics 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang