Phase turbulence in the two-dimensional complex Ginzburg-Landau equation
MSTD '95 Proceedings of the workshop on Measures of spatio-temporal dynamics
Elements of applied bifurcation theory (2nd ed.)
Elements of applied bifurcation theory (2nd ed.)
Exponential time differencing for stiff systems
Journal of Computational Physics
Nonlinear Time Series Analysis
Nonlinear Time Series Analysis
Preface: Mathematical methods and modelling of biophysical phenomena
Mathematical and Computer Modelling: An International Journal
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A comparative study of the recurrence properties of time series and two-dimensional spatial data is performed by means of Recurrence Quantification Analysis. The recent extension to distributed data of methods based on recurrences reveals new insights improving the performances of the approach for the analysis of complex spatial patterns. Indeed, the measures determinism and entropy provide significant information about the small and large scale characterization of the patterns allowing for a better connection to the physical properties of the spatial system under investigation.