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Traveling chimera states in continuous media
Communications in Nonlinear Science and Numerical Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. J. Alvarez-Socorro +2 more
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Chimera states on complex networks
Physical Review E, 2014The model of nonlocally coupled identical phase oscillators on complex networks is investigated. We find the existence of chimera states in which identical oscillators evolve into distinct coherent and incoherent groups. We find that the coherent group of chimera states always contains the same oscillators no matter what the initial conditions are. The
Yun, Zhu, Zhigang, Zheng, Junzhong, Yang
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The mathematics behind chimera states
Nonlinearity, 2018Chimera states are self-organized spatiotemporal patterns of coexisting coherence and incoherence. We give an overview of the main mathematical methods used in studies of chimera states, focusing on chimera states in spatially extended coupled oscillator systems. We discuss the continuum limit approach to these states, Ott--Antonsen manifold reduction,
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Stability of Spiral Chimera States on a Torus
SIAM Journal on Applied Dynamical Systems, 2018Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Omel'chenko, Oleh +2 more
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Chimera states as chaotic spatiotemporal patterns
Physical Review E, 2010Chimera states are a recently new discovered dynamical phenomenon that appears in arrays of nonlocally coupled oscillators and displays a spatial pattern of coherent and incoherent regions. We report here an additional feature of this dynamical regime: an irregular motion of the position of the coherent and incoherent regions, i.e., we reveal the ...
Oleh E, Omel'chenko +2 more
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Solitary states and solitary state chimera in neural networks
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019We investigate solitary states and solitary state chimeras in a ring of nonlocally coupled systems represented by FitzHugh-Nagumo neurons in the oscillatory regime. We perform a systematic study of solitary states in this network. In particular, we explore the phase space structure, calculate basins of attraction, analyze the region of existence of ...
E. Rybalova +3 more
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Chimera states in neuronal networks: A review
Physics of Life Reviews, 2019Neuronal networks, similar to many other complex systems, self-organize into fascinating emergent states that are not only visually compelling, but also vital for the proper functioning of the brain. Synchronous spatiotemporal patterns, for example, play an important role in neuronal communication and plasticity, and in various cognitive processes ...
Soumen Majhi +3 more
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Effects of autapse on the chimera state in a Hindmarsh-Rose neuronal network
Chaos, Solitons and Fractals, 2021Sajede Aghababaei +2 more
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Chimera state in a network of nonlocally coupled impact oscillators
Journal of Zhejiang University: Science A, 2021Jerzy Wojewoda +2 more
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Chimera states in coupled Hindmarsh-Rose neurons with α-stable noise
Chaos, Solitons and Fractals, 2021Yong Xu, Chunbiao Li, Tomasz Kapitaniak
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