A rigorous formalism of information transfer between dynamical system components. I. Discrete mapping

DOI10.1016/j.physd.2007.04.002zbMath1151.94461OpenAlexW2125589218MaRDI QIDQ997360

X. San Liang, Richard Kleeman

Publication date: 23 July 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.04.002

zbMATH Keywords

Frobenius-Perron operatorHénon mapinformation transferBaker transformation

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Measures of information, entropy (94A17)

Related Items (8)

Entropy evolution and uncertainty estimation with dynamical systems ⋮ A rigorous formalism of information transfer between dynamical system components. II. Continuous flow ⋮ A general theory to estimate information transfer in nonlinear systems ⋮ Local predictability and information flow in complex dynamical systems ⋮ Information theory and dynamical system predictability ⋮ Causation and information flow with respect to relative entropy ⋮ The Liang-Kleeman information flow: theory and applications ⋮ Causality of energy-containing eddies in wall turbulence

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• Chaos, Scattering and Statistical Mechanics
• Nonlinear Time Series Analysis
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics
• Distribution of mutual information
• A robust method for detecting interdependences: Application to intracranially recorded EEG

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