Analysing spatially extended high-dimensional dynamics by recurrence plots
arXiv:1411.6159 · doi:10.1016/j.physleta.2015.01.013
Abstract
Recurrence plot based measures of complexity are capable tools for characterizing complex dynamics. In this letter we show the potential of selected recurrence plot measures for the investigation of even high-dimensional dynamics. We apply this method on spatially extended chaos, such as derived from the Lorenz96 model and show that the recurrence plot based measures can qualitatively characterize typical dynamical properties such as chaotic or periodic dynamics. Moreover, we demonstrate its power by analyzing satellite image time series of vegetation cover with contrasting dynamics as a spatially extended and potentially high-dimensional example from the real world.
References in corpus (6)
- Complex Network Approach for Recurrence Analysis of Time Series
- Historical Review of Recurrence Plots
- Generalised Recurrence Plot Analysis for Spatial Data
- Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
- Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
- Structure of characteristic Lyapunov vectors in spatiotemporal chaos