Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems
Joint Authors
De Domenico, Manlio
d’Andrea, Valeria
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Equations governing the nonlinear dynamics of complex systems are usually unknown, and indirect methods are used to reconstruct their manifolds.
In turn, they depend on embedding parameters requiring other methods and long temporal sequences to be accurate.
In this paper, we show that an optimal reconstruction can be achieved by lossless compression of system’s time course, providing a self-consistent analysis of its dynamics and a measure of its complexity, even for short sequences.
Our measure of complexity detects system’s state changes such as weak synchronization phenomena, characterizing many systems, in one step, integrating results from Lyapunov and fractal analysis.
American Psychological Association (APA)
d’Andrea, Valeria& De Domenico, Manlio. 2020. Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems. Complexity،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1144477
Modern Language Association (MLA)
d’Andrea, Valeria& De Domenico, Manlio. Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems. Complexity No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1144477
American Medical Association (AMA)
d’Andrea, Valeria& De Domenico, Manlio. Compressing Phase Space Detects State Changes in Nonlinear Dynamical Systems. Complexity. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1144477
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144477