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25 April 2024
 
  » arxiv » nlin.CD/0310048

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Information Flow through a Chaotic Channel: Prediction and Postdiction at Finite Resolution
Richard Metzler ; Yaneer Bar-Yam ; Mehran Kardar ;
Date 30 Oct 2003
Subject Chaotic Dynamics; Disordered Systems and Neural Networks | nlin.CD cond-mat.dis-nn
AbstractWe reconsider the persistence of information under the dynamics of the logistic map in order to discuss communication through a nonlinear channel where the sender can set the initial state of the system with finite resolution, and the recipient measures it with the same accuracy. We separate out the contributions of global phase space shrinkage and local phase space contraction and expansion to the uncertainty in predicting and postdicting the state of the system. Thus, we determine how the amplification parameter, the time lag, and the resolution influence the possibility for communication. A novel representation for real numbers is introduced that allows for a visualization of the flow of information between scales.
Source arXiv, nlin.CD/0310048
Other source [GID 1074238] pmid15447563
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