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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…

适应与自组织系统 · 物理学 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

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…

混沌动力学 · 物理学 2015-05-22 Sindre W. Haugland , Lennart Schmidt , Katharina Krischer

Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled biochemical oscillators. These systems are known to exhibit…

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

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

混沌动力学 · 物理学 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

Chimera states, representing a spontaneous break-up of a population of identical oscillators that are identically coupled, into sub-populations displaying synchronized and desynchronized behavior, have traditionally been found to exist in…

混沌动力学 · 物理学 2015-06-18 Gautam C Sethia , Abhijit Sen

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

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…

混沌动力学 · 物理学 2015-02-19 Mark J. Panaggio , Daniel M. Abrams

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…

斑图形成与孤子 · 物理学 2015-06-11 Lennart Schmidt , Katharina Krischer

The defining property of chimera states is the coexistence of coherent and incoherent domains in systems that are structurally and spatially homogeneous. The recent realization that such states might be common in oscillator networks raises…

斑图形成与孤子 · 物理学 2018-01-19 Zachary G. Nicolaou , Hermann Riecke , Adilson E. Motter

Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a…

适应与自组织系统 · 物理学 2021-10-27 Sindre W. Haugland , Anton Tosolini , Katharina Krischer

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

The photoelectrodissolution of n-type silicon constitutes a convenient model system to study the nonlinear dynamics of oscillatory media. On the silicon surface, a silicon oxide layer forms. In the lateral direction, the thickness of this…

斑图形成与孤子 · 物理学 2016-12-21 Lennart Schmidt , Konrad Schönleber , Vladimir García-Morales , Katharina Krischer

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is…

适应与自组织系统 · 物理学 2021-12-28 Sneha Kachhara , G. Ambika

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…

适应与自组织系统 · 物理学 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…

适应与自组织系统 · 物理学 2015-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

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…

混沌动力学 · 物理学 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices. In this regime some part of the ensemble forms a…

混沌动力学 · 物理学 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

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…

斑图形成与孤子 · 物理学 2007-05-23 Yoji Kawamura

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…

适应与自组织系统 · 物理学 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang

The emergence of the chimera state as counterintuitive spatial coexistence of synchronous and asynchronous regimes is addressed here in a continuum chemical oscillator system by implementing a relevant complex Ginzburg-Landau equation with…

适应与自组织系统 · 物理学 2024-12-11 Premashis Kumar , Gautam Gangopadhyay
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