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ArrayEnhanced Coherence Resonance in the Diffusively Coupled Active Rotators and Its Analysis with the Nonlinear FokkerPlanck Equation
Takashi KANAMARU Masatoshi SEKINE
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E86A
No.9
pp.21972202 Publication Date: 2003/09/01
Online ISSN: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications) Category: Nonlinear Phenomena Keyword: active rotator, arrayenhanced coherence resonance, nonlinear FokkerPlanck equation,
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Summary:
The arrayenhanced coherence resonance (AECR) in the diffusively coupled active rotators is investigated and its analysis with the nonlinear FokkerPlanck equation is presented. By considering the nonlinear FokkerPlanck equation of the rotators, it is found that the timeperiodic solution exists in some parameter range. By solving the equation of a rotator and the FokkerPlanck 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 timeperiodic solution of the probability density induced by noise.

