Array-Enhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear Fokker-Planck Equation
Summary :
The array-enhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear Fokker-Planck equation is presented. By considering the nonlinear Fokker-Planck equation of the rotators, it is found that the time-periodic solution exists in some parameter range. By solving the equation of a rotator and the Fokker-Planck equation simultaneously, the behavior of a rotator in the system with infinite number of rotators is considered, and it is found that AECR also takes place in this infinite system. Thus it is concluded that AECR is caused by the time-periodic solution of the probability density induced by noise.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.9 pp.2197-2202
- Publication Date
- 2003/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
- Category
- Nonlinear Phenomena
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Takashi KANAMARU, Masatoshi SEKINE, "Array-Enhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear Fokker-Planck Equation" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 9, pp. 2197-2202, September 2003, doi: .
Abstract: The array-enhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear Fokker-Planck equation is presented. By considering the nonlinear Fokker-Planck equation of the rotators, it is found that the time-periodic solution exists in some parameter range. By solving the equation of a rotator and the Fokker-Planck equation simultaneously, the behavior of a rotator in the system with infinite number of rotators is considered, and it is found that AECR also takes place in this infinite system. Thus it is concluded that AECR is caused by the time-periodic solution of the probability density induced by noise.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_9_2197/_p
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@ARTICLE{e86-a_9_2197,
author={Takashi KANAMARU, Masatoshi SEKINE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Array-Enhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear Fokker-Planck Equation},
year={2003},
volume={E86-A},
number={9},
pages={2197-2202},
abstract={The array-enhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear Fokker-Planck equation is presented. By considering the nonlinear Fokker-Planck equation of the rotators, it is found that the time-periodic solution exists in some parameter range. By solving the equation of a rotator and the Fokker-Planck equation simultaneously, the behavior of a rotator in the system with infinite number of rotators is considered, and it is found that AECR also takes place in this infinite system. Thus it is concluded that AECR is caused by the time-periodic solution of the probability density induced by noise.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Array-Enhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear Fokker-Planck Equation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2197
EP - 2202
AU - Takashi KANAMARU
AU - Masatoshi SEKINE
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2003
AB - The array-enhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear Fokker-Planck equation is presented. By considering the nonlinear Fokker-Planck equation of the rotators, it is found that the time-periodic solution exists in some parameter range. By solving the equation of a rotator and the Fokker-Planck equation simultaneously, the behavior of a rotator in the system with infinite number of rotators is considered, and it is found that AECR also takes place in this infinite system. Thus it is concluded that AECR is caused by the time-periodic solution of the probability density induced by noise.
ER -
English
