Results 241 to 250 of about 90,300 (269)
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2018
In this chapter we study chimera states, a regime where the units of a symmetric network split into groups with coherent and incoherent behaviors, thus breaking the symmetry of the structure. We discuss illustrative examples, control techniques, and experimental observations of these states, with particular focus on those performed on networks of ...
Frasca, Mattia +3 more
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In this chapter we study chimera states, a regime where the units of a symmetric network split into groups with coherent and incoherent behaviors, thus breaking the symmetry of the structure. We discuss illustrative examples, control techniques, and experimental observations of these states, with particular focus on those performed on networks of ...
Frasca, Mattia +3 more
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Excitation and suppression of chimera states by multiplexing
Physical Review E, 2016We study excitation and suppression of chimera states in an ensemble of nonlocally coupled oscillators arranged in a framework of multiplex network. We consider the homogeneous network (all identical oscillators) with different parametric cases and interlayer heterogeneity by introducing parameter mismatch between the layers. We show the feasibility to
Vladimir A Maksimenko +2 more
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Pinning control of chimera states
Physical Review E, 2016The position of the coherent and incoherent domain of a chimera state in a ring of nonlocally coupled oscillators is strongly influenced by the initial conditions, making nontrivial the problem of confining them in a specific region of the structure. In this paper we propose the use of spatial pinning to induce a chimera state where the nodes belonging
L. V. Gambuzza, FRASCA, MATTIA
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Journal of Physics A: Mathematical and Theoretical, 2019
Abstract In this paper we consider the Ott–Antonsen equation describing the long time coarse-grained dynamics of a ring of nonlocally coupled phase oscillators. We study traveling wave solutions relevant to traveling chimera states in the coupled oscillator system.
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Abstract In this paper we consider the Ott–Antonsen equation describing the long time coarse-grained dynamics of a ring of nonlocally coupled phase oscillators. We study traveling wave solutions relevant to traveling chimera states in the coupled oscillator system.
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Robust features of chimera states and the implementation of alternating chimera states
EPL (Europhysics Letters), 2010It is well known that different from most mammals with bihemispheric sleep, birds, some aquatic mammals, and reptiles engage in unihemispheric sleep to mitigate the fundamental conflict between sleep and wakefulness. The mechanism of this phenomenon has been illustrated by chimera states of coupled oscillators (Phys. Rev.
Rubao Ma, Jianxiong Wang, Zonghua Liu
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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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