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Research Article

How Synchronization Protects from Noise

  • Nicolas Tabareau mail,

    nicolas.tabareau@inria.fr

    Affiliations: LPPA, Collège de France, Paris, France, INRIA, École des mines de Nantes, France

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  • Jean-Jacques Slotine,

    Affiliation: Nonlinear Systems Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts, United States of America

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  • Quang-Cuong Pham

    Affiliation: LPPA, Collège de France, Paris, France

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  • Published: January 15, 2010
  • DOI: 10.1371/journal.pcbi.1000637

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Publisher's Note: Minor Correction to Assumption (A3) in Results section

Posted by PLoS_CompBiol on 24 Aug 2010 at 09:58 GMT

then implies
http://ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1000637#article1.body1.sec2.sec1.sec3.p1

In assumption (A3), the end of the second sentence should be "then E(||P||) -> 0 implies E(||x_(noise_free) - x_perturbed||) -> 0."

Note from authors: Note that for a given dynamics, it can be interesting to know more about the trajectory of the perturbed system under small noise. In the particular case of FN oscillators, Tuckwell and Rodriguez have given an explicit description of the trajectory of the perturbed system by analysing the mean, variance and covariance of the system.

No competing interests declared.