Analysis of spatiotemporal signals of complex systems
- 1 May 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (5) , 3890-3900
- https://doi.org/10.1103/physreve.51.3890
Abstract
We present a method of analyzing spatiotemporal signals emerging from nonequilibrium self-organizing systems that are close to instability. The algorithm aims at an identification of spatial modes and corresponding order-parameter equations. We discuss and demonstrate the method by examples of simulated codimension I and II instabilities, including a numerically integrated partial differential equation leading to ‘‘blinking states.’’Keywords
This publication has 20 references indexed in Scilit:
- A theoretical model of phase transitions in the human brainBiological Cybernetics, 1994
- Spells of Low-Frequency Oscillations and Weather Regimes in the Northern HemisphereJournal of the Atmospheric Sciences, 1994
- The analysis of observed chaotic data in physical systemsReviews of Modern Physics, 1993
- The Proper Orthogonal Decomposition in the Analysis of Turbulent FlowsAnnual Review of Fluid Mechanics, 1993
- PHASE TRANSITIONS IN THE HUMAN BRAIN: SPATIAL MODE DYNAMICSInternational Journal of Bifurcation and Chaos, 1992
- Fitting ordinary differential equations to chaotic dataPhysical Review A, 1992
- Evolution of Dynamical Structures in Complex SystemsSpringer Proceedings in Physics, 1992
- Information and Self-OrganizationPublished by Springer Nature ,1988
- Extracting qualitative dynamics from experimental dataPhysica D: Nonlinear Phenomena, 1986
- Measuring the strangeness of strange attractorsPhysica D: Nonlinear Phenomena, 1983