Noise-driven synchronization of a FitzHugh–Nagumo ring with phase-repulsive coupling: A perspective from the system’s nonequilibrium potential
We study a one-dimensional array of N autonomous units with excitable FitzHugh–Nagumo dynamics coupled in phase-repulsive way to form a ring, and submitted to a common subthreshold harmonic signal and independent Gaussian white noises with a common intensity η . By varying η , two macroscopic regime...
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Published in | Physica A Vol. 388; no. 6; pp. 967 - 976 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
15.03.2009
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Subjects | |
Online Access | Get full text |
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Summary: | We study a one-dimensional array of
N
autonomous units with excitable FitzHugh–Nagumo dynamics coupled in phase-repulsive way to form a ring, and submitted to a common subthreshold harmonic signal and independent Gaussian white noises with a common intensity
η
. By varying
η
, two macroscopic regimes are observed. For some value of noise intensity, a transition from the rest state to an activated one–with almost half of the neurons excited forming an “...–activated–inhibited–activated–... ” structure along the ring–takes place. For larger values of
η
, the inverse transition is also observed, and both states alternate in a synchronized way with the signal. Moreover, measures of activation and coherent behavior become maximal for intermediate values of
η
. The origin of these collective effects is explained in terms of the system’s nonequilibrium potential. In particular, the levels of noise for activation and synchronization are theoretically estimated. |
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ISSN: | 0378-4371 1873-2119 |
DOI: | 10.1016/j.physa.2008.11.031 |