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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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Chimera state in a feed-forward neuronal network [PDF]
Cognitive Neurodynamics, 2023 Peihua Feng
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Spectral properties of chimera states
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011Chimera states are particular trajectories in systems of phase oscillators with nonlocal coupling that display a spatiotemporal pattern of coherent and incoherent motion. We present here a detailed analysis of the spectral properties for such trajectories.
Wolfrum, Matthias +3 more
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023
In the classic Kuramoto system of coupled two-dimensional rotators, chimera states characterized by the coexistence of synchronous and asynchronous groups of oscillators are long-lived because the average lifetime of these states increases exponentially with the system size.
Ling-Wei Kong, Ying-Cheng Lai
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In the classic Kuramoto system of coupled two-dimensional rotators, chimera states characterized by the coexistence of synchronous and asynchronous groups of oscillators are long-lived because the average lifetime of these states increases exponentially with the system size.
Ling-Wei Kong, Ying-Cheng Lai
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Chimera states are chaotic transients
Physical Review E, 2011Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Wolfrum, Matthias, Omel'chenko, Oleh
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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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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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