Abstract
Abstract. Synchronization is studied using a pair of diffusively-coupled, two-layer quasi-geostrophic systems each comprising a single baroclinic wave and a zonal flow. In particular, the coupling between the systems is in the well-known master-slave or one-way configuration. Nonlinear time series analysis, phase dynamics, and bifurcation diagrams are used to study the dynamics of the coupled system. Phase synchronization, imperfect synchronization (phase slips), or complete synchronization are found, depending upon the strength of coupling, when the systems are either in a periodic or a chaotic regime. The results of investigations when the dynamics of each system are in different regimes are also presented. These results also show evidence of phase synchronization and signs of chaos control.
Highlights
For several years, regular fluctuations in climate dynamics have intrigued climate scientists and researchers
We studied the effects of this coupling in the periodic (Amplitude Vacillation, amplitude vacillating waves (AV)) and chaotic (Modulated Amplitude Vacillation, modulated amplitude vacillating waves (MAV)) regimes previously identified and reported in Lovegrove et al (2001) and Lovegrove et al (2002)
Phase dynamics, and bifurcation diagrams were used to study the dynamics of the coupled system
Summary
Regular fluctuations in climate dynamics have intrigued climate scientists and researchers. Certain fluctuations in meteorological records are characterized by teleconnection patterns in both space and time, in the sense of significant correlations between the fluctuations of a field at widely separated points, commonly applied to variability on monthly and longer timescales. Such correlations suggest that some kind of information may be propagated between two (or more) distant places through the atmosphere. Phase synchronization between atmospheric variables, such as daily mean temperature and daily precipitation records, has been studied by Rybski et al (2003)
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