Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第36回ISCIE「確率システム理論と応用」国際シンポジウム(2004年11月, 埼玉鳩山)
Noise-induced Synchronization of Uncoupled Nonlinear Systems
Katsutoshi YoshidaKeijin Sato
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ジャーナル フリー

2005 年 2005 巻 p. 44-49

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We derive a recursion formulae of transition probability of the noise-induced synchronization arising in a pair of identical uncoupled logistic maps linked by common noisy excitation only. The formulae has a delta-type stationary solution which represents the perfect synchronization with probability 1. The stationary solution maintains under chaotic bifurcation while the escape times to reach the perfect synchronization are increased in the chaotic region. A physical implementation of the synchronization is also demonstrated.
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© 2005 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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