Results 31 to 40 of about 90,300 (269)
Chimera States on a Flat Torus [PDF]
Physical Review Letters, 2013 Discovered numerically by Kuramoto and Battogtokh in 2002, chimera states are spatiotemporal patterns in which regions of coherence and incoherence coexist. These mathematical oddities were recently reproduced in a laboratory setting sparking a flurry of interest in their properties.
Panaggio, Mark J., Abrams, Daniel M.
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A classification scheme for chimera states [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016 We present a universal characterization scheme for chimera states applicable to both numerical and experimental data sets. The scheme is based on two correlation measures that enable a meaningful definition of chimera states as well as their classification into three categories: stationary, turbulent, and breathing. In addition, these categories can be
Felix P. Kemeth +4 more
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Chimera states in mechanical oscillator networks. [PDF]
Proc Natl Acad Sci U S A, 2013 The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature uses to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony and disorder were mutually exclusive steady states for a network of identical oscillators, numerous theoretical studies ...
Martens EA +3 more
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Nonlinearity of local dynamics promotes multi-chimeras [PDF]
, 2015 Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators.
Hoevel, Philipp +4 more
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Solitary routes to chimera states
Physical Review E, 2022 We show how solitary states in a system of globally coupled FitzHugh-Nagumo oscillators can lead to the emergence of chimera states. By a numerical bifurcation analysis of a suitable reduced system in the thermodynamic limit we demonstrate how solitary states, after emerging from the synchronous state, become chaotic in a period-doubling cascade ...
Schülen, Leonhard +3 more
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Chimera states and the interplay between initial conditions and non-local coupling [PDF]
, 2017 This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 27, 033110 (2017) and may be found at https://doi.org/10.1063/1.4977866.Chimera states are ...
Kalle, Peter +3 more
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Self-adaptation of chimera states
Physical Review E, 2019 Chimera states in spatiotemporal dynamical systems have been investigated in physical, chemical, and biological systems, and have been shown to be robust against random perturbations. How do chimera states achieve their robustness? We uncover a self-adaptation behavior by which, upon a spatially localized perturbation, the coherent component of the ...
Yao, Nan +4 more
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Cloning of Chimera States in a Large Short-term Coupled Multiplex Network of Relaxation Oscillators
Frontiers in Applied Mathematics and Statistics, 2019 A new phenomenon of the chimera states cloning in a large two-layer multiplex network with short-term couplings has been discovered and studied. For certain values of strength and time of multiplex interaction, in the initially disordered layer, a state ...
Aleksei Dmitrichev +2 more
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Chimeras and Clusters Emerging from Robust-Chaos Dynamics
Complexity, 2021 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 of globally ...
M. G. Cosenza +2 more
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Imperfect chimera states for coupled pendula. [PDF]
Sci Rep, 2014 The phenomenon of chimera states in the systems of coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interest. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling.
Kapitaniak T +4 more
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