Correlation networks from flows. The case of forced and time-dependent advection-diffusion dynamics

Abstract

Complex network theory provides an elegant and powerful framework to statistically investigate different types of systems such as society, brain or the structure of local and long-range dynamical interrelationships in the climate system. Network links in climate networks typically imply information, mass or energy exchange. However, the specific connection between oceanic or atmospheric flows and the climate network's structure is still unclear. We propose a theoretical approach for verifying relations between the correlation matrix and the climate network measures, generalizing previous studies and overcoming the restriction to stationary flows. Our methods are developed for correlations of a scalar quantity (temperature, for example) which satisfies an advection-diffusion dynamics in the presence of forcing and dissipation. Our approach reveals that correlation networks are not sensitive to steady sources and sinks and the profound impact of the signal decay rate on the network topology. We illustrate our results with calculations of degree and clustering for a meandering flow resembling a geophysical ocean jet.

References in corpus (15)

• The structure and function of complex networks
• Temporal Networks
• Hydrodynamic provinces and oceanic connectivity from a transport network help designing marine reserves
• Revealing networks from dynamics: an introduction
• Temporal networks: slowing down diffusion by long lasting interactions
• Flow networks: A characterization of geophysical fluid transport
• The dominant imprint of Rossby waves in the climate network
• Boolean Delay Equations: A simple way of looking at complex systems
• Complex network based techniques to identify extreme events and (sudden) transitions in spatio-temporal systems
• Most probable paths in temporal weighted networks: An application to ocean transport
• Assessing the direction of climate interactions by means of complex networks and information theoretic tools
• Mixing in a Meandering Jet: a Markovian Approximation
• Chaotic advection of reacting substances: Plankton dynamics on a meandering jet
• Dominant transport pathways in an atmospheric blocking event
• Effect of dynamical traps on chaotic transport in a meandering jet flow

Cited by in corpus (9)

• A review on turbulent and vortical flow analyses via complex networks
• Visibility graph analysis of wall turbulence time-series
• Network Structure Inference, A Survey: Motivations, Methods, and Applications
• From time-series to complex networks: Application to the cerebrovascular flow patterns in atrial fibrillation
• Spatial characterization of turbulent channel flow via complex networks
• Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: a Lagrangian flow network perspective
• Clustering coefficient and periodic orbits in flow networks
• Edge anisotropy and the geometric perspective on flow networks
• State aggregations in Markov chains and block models of networks