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Open AccessArticle

Information Transfer Among the Components in Multi-Dimensional Complex Dynamical Systems

College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410072, China
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Entropy 2018, 20(10), 774; https://doi.org/10.3390/e20100774
Received: 13 September 2018 / Revised: 2 October 2018 / Accepted: 7 October 2018 / Published: 9 October 2018
(This article belongs to the Special Issue Entropy in Dynamic Systems)
In this paper, a rigorous formalism of information transfer within a multi-dimensional deterministic dynamic system is established for both continuous flows and discrete mappings. The underlying mechanism is derived from entropy change and transfer during the evolutions of multiple components. While this work is mainly focused on three-dimensional systems, the analysis of information transfer among state variables can be generalized to high-dimensional systems. Explicit formulas are given and verified in the classical Lorenz and Chua’s systems. The uncertainty of information transfer is quantified for all variables, with which a dynamic sensitivity analysis could be performed statistically as an additional benefit. The generalized formalisms can be applied to study dynamical behaviors as well as asymptotic dynamics of the system. The simulation results can help to reveal some underlying information for understanding the system better, which can be used for prediction and control in many diverse fields. View Full-Text
Keywords: Information transfer; continuous flow; discrete mapping; Lorenz system; Chua’s system Information transfer; continuous flow; discrete mapping; Lorenz system; Chua’s system
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MDPI and ACS Style

Yin, Y.; Duan, X. Information Transfer Among the Components in Multi-Dimensional Complex Dynamical Systems. Entropy 2018, 20, 774. https://doi.org/10.3390/e20100774

AMA Style

Yin Y, Duan X. Information Transfer Among the Components in Multi-Dimensional Complex Dynamical Systems. Entropy. 2018; 20(10):774. https://doi.org/10.3390/e20100774

Chicago/Turabian Style

Yin, Yimin; Duan, Xiaojun. 2018. "Information Transfer Among the Components in Multi-Dimensional Complex Dynamical Systems" Entropy 20, no. 10: 774. https://doi.org/10.3390/e20100774

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