Back to Search
Start Over
Anticipating synchrony in dynamical systems using information theory.
- Source :
- Chaos; Mar2022, Vol. 32 Issue 3, p1-11, 11p
- Publication Year :
- 2022
-
Abstract
- Synchronization in coupled dynamical systems has been a well-known phenomenon in the field of nonlinear dynamics for a long time. This phenomenon has been investigated extensively both analytically and experimentally. Although synchronization is observed in different areas of our real life, in some cases, this phenomenon is harmful; consequently, an early warning of synchronization becomes an unavoidable requirement. This paper focuses on this issue and proposes a reliable measure (R), from the perspective of the information theory, to detect complete and generalized synchronizations early in the context of interacting oscillators. The proposed measure R is an explicit function of the joint entropy and mutual information of the coupled oscillators. The applicability of R to anticipate generalized and complete synchronizations is justified using numerical analysis of mathematical models and experimental data. Mathematical models involve the interaction of two low-dimensional, autonomous, chaotic oscillators and a network of coupled Rössler and van der Pol oscillators. The experimental data are generated from laboratory-scale turbulent thermoacoustic systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10541500
- Volume :
- 32
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Chaos
- Publication Type :
- Academic Journal
- Accession number :
- 156081345
- Full Text :
- https://doi.org/10.1063/5.0079255