Nonlinear resonant and non-resonant coupling of high-frequency modes in an inhomogeneous anisotropic brain tissue model produces low-frequency synchronized rhythms orders of magnitude below the participating linear frequencies.
Chimera States for Coupled Oscillators
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abstract
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 globally coupled systems; they are peculiar to the intermediate case of nonlocal coupling. Here we present an exact solution for this state, for a ring of phase oscillators coupled by a cosine kernel. We show that the stable chimera state bifurcates from a spatially modulated drift state, and dies in a saddle-node bifurcation with an unstable chimera.
fields
physics.bio-ph 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Universal mechanism of low-frequency brain rhythm formation through nonlinear coupling of high-frequency spiking-like activity
Nonlinear resonant and non-resonant coupling of high-frequency modes in an inhomogeneous anisotropic brain tissue model produces low-frequency synchronized rhythms orders of magnitude below the participating linear frequencies.