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Directed dynamical influence is more detectable with noise.

ABSTRACT: Successful identification of directed dynamical influence in complex systems is relevant to significant problems of current interest. Traditional methods based on Granger causality and transfer entropy have issues such as difficulty with nonlinearity and large data requirement. Recently a framework based on nonlinear dynamical analysis was proposed to overcome these difficulties. We find, surprisingly, that noise can counterintuitively enhance the detectability of directed dynamical influence. In fact, intentionally injecting a proper amount of asymmetric noise into the available time series has the unexpected benefit of dramatically increasing confidence in ascertaining the directed dynamical influence in the underlying system. This result is established based on both real data and model time series from nonlinear ecosystems. We develop a physical understanding of the beneficial role of noise in enhancing detection of directed dynamical influence.

SUBMITTER: Jiang JJ

PROVIDER: S-EPMC4828632 | biostudies-literature | 2016 Apr

REPOSITORIES: biostudies-literature

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Directed dynamical influence is more detectable with noise.

Jiang Jun-Jie JJ Huang Zi-Gang ZG Huang Liang L Liu Huan H Lai Ying-Cheng YC

Scientific reports 20160412

Successful identification of directed dynamical influence in complex systems is relevant to significant problems of current interest. Traditional methods based on Granger causality and transfer entropy have issues such as difficulty with nonlinearity and large data requirement. Recently a framework based on nonlinear dynamical analysis was proposed to overcome these difficulties. We find, surprisingly, that noise can counterintuitively enhance the detectability of directed dynamical influence. I ...[more]

PMID: 27066763

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