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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

Chimera states in coupled oscillator systems present both spatially coherent and incoherent domains. The number and size of these domains depend on many factors like the system parameters and initial conditions. Systematic investigations of…

Chaotic Dynamics · Physics 2019-06-26 C. A. S. Batista , R. L. Viana

Chimera states are synchronization patterns in which coherent and incoherent regions coexist in systems of identical oscillators. This elusive phenomenon has attracted significant interest and has been widely analyzed, revealing several…

Pattern Formation and Solitons · Physics 2026-04-24 Rommel Tchinda Djeudjo , Timoteo Carletti , Hiroya Nakao , Riccardo Muolo

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

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2020-03-18 Joydeep Singha , Neelima Gupte

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

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2018-11-30 Joydeep Singha , Neelima Gupte

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled Kuramoto--Sakaguchi oscillators in…

Pattern Formation and Solitons · Physics 2019-12-02 Seungjae Lee , Young Sul Cho

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

Chaotic Dynamics · Physics 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , 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…

Chaotic Dynamics · Physics 2015-06-16 Johanne Hizanidis , Vasilis Kanas , Anastasios Bezerianos , Tassos Bountis

Non-locally coupled oscillators with a phase lag exhibit various non-trivial spatio-temporal patterns such as the chimera states and the multi-twisted states. We numerically study large-scale spatio-temporal patterns in a ring of…

Adaptation and Self-Organizing Systems · Physics 2021-12-01 Bojun Li , Nariya Uchida

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

Nonlocally coupled oscillator systems can exhibit an exotic spatiotemporal structure called chimera, where the system splits into two groups of oscillators with sharp boundaries, one of which is phase-locked and the other is…

Pattern Formation and Solitons · Physics 2007-05-23 Yoji Kawamura

We investigate the transition from synchronized to chimera states in a ring of non-locally coupled phase oscillators. Our focus is on the intermediate defect states, where solitary waves in the phase gradient profile travel at a constant…

Adaptation and Self-Organizing Systems · Physics 2026-02-12 Tianjing Zhou , Nariya Uchida

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled dynamical units, prevail in a variety of systems. However, the interaction structures among oscillators are static in most of studies on chimera state. In this…

Adaptation and Self-Organizing Systems · Physics 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

Frequency plays a crucial role in exhibiting various collective dynamics in the coexisting co- and counter-rotating (CR) systems. To illustrate the impact of CR frequencies, we consider a network of non-identical and globally coupled…

Adaptation and Self-Organizing Systems · Physics 2022-04-06 K. Sathiyadevi , V. K. Chandrasekar , M. Lakshmanan

We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking…

Pattern Formation and Solitons · Physics 2015-06-11 Lennart Schmidt , Katharina Krischer

We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble of identical nonlinear oscillators interacting directly through local coupling and indirectly through dynamic…

Adaptation and Self-Organizing Systems · Physics 2020-06-15 Umesh Kumar Verma , G. Ambika

Chimera states are complex spatiotemporal patterns consisting of coexisting domains of coherence and incoherence. We study networks of nonlocally coupled logistic maps and analyze systematically how the dilution of the network links…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Alexander zur Bonsen , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

By developing the concepts of strength of incoherence and discontinuity measure, we show that a distinct quantitative characterization of chimera and multichimera states which occur in networks of coupled nonlinear dynamical systems…

Chaotic Dynamics · Physics 2015-06-19 R. Gopal , V. K. Chandrasekar , A. Venkatesan , M. Lakshmanan