Comparison of recurrence quantification methods for the analysis of temporal and spatial chaos
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Summary
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.
- Type
- article
- Published
- 2011-04-01
- Cited by
- 37
- References
- 42
- OpenAlex
- https://openalex.org/W1967787245
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:20165412
Keywords
Recurrence quantification analysis, CHAOS (operating system), Computer science, Mathematics, Artificial intelligence
References
- Elements of applied bifurcation theory (2nd ed.)
- Multiscale modeling of biological pattern formation.
- Segmented spiral waves in a reaction-diffusion system
- Curved structures in recurrence plots: the role of the sampling time.
- Recurrence plot analysis of nonstationary data: the understanding of curved patterns.
- Hydrodynamic fluctuations near the convection instability
- Estimation of dynamical invariants without embedding by recurrence plots.
- State-Space Reconstruction and Spatio-Temporal Prediction of Lattice Dynamical Systems
- The world of the complex Ginzburg-Landau equation
- Extended Recurrence Plot Analysis and its Application to ERP Data
- Identification of bifurcations of distributed systems using Generalized Recurrence Quantification Analysis
- Nucleation and transients at the onset of vortex turbulence.
- Identifying spatial pattern of NDVI series dynamics using recurrence quantification analysis
- Spatial recurrence strategies reveal different routes to Turing pattern formation in chemical systems
- Recurrence plots of neuronal spike trains
- On the notion of recurrence in discrete stochastic processes
- Recurrence-plot-based measures of complexity and their application to heart-rate-variability data
- Exponential Time Differencing for Stiff Systems
- Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods
- Generalized recurrence plots for the analysis of images from spatially distributed systems
Cited by
- Analysis of System Signals Based on Cross Recurrence Method for System Dynamics characterization
- Analysis of Key Features of Non-Linear Behavior Using Recurrence Plots. Case Study: Urban Pollution at Mexico City
- Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems
- Chaotic recurrence characteristics analysis of information entropy of gas-liquid two phase flow image
- Recurrence Methods for the Identification of Morphogenetic Patterns
- Analysis of Key Features of Non-Linear Behaviour Using Recurrence Quantification. Case Study: Urban Airborne Pollution at Mexico City
- Finding Trends of Airborne Harmful Pollutants by Using Recurrence Quantification Analysis
- EFFECTIVE ROUGH BOUNDARY PARAMETRIZATION FOR REACTION-DIFFUSION SYSTEMS
- Recurrence indicators for the identification of spatial patterns
- Multiscale recurrence analysis of spatio-temporal data.
- Investigation on Gas-Liquid Two-Phase Pressure Drop and Recurrence Characteristics across an In-Line Tube Bundles
- Investigation on Gas-Liquid Two-Phase Flow Patterns across an In-Line Tube Bundles
- RP and RQA Analysis for Floating Potential Fluctuations in a DC Magnetron Sputtering Plasma
- Mathematical methods and modelling of biophysical phenomena
- Extended generalized recurrence plot quantification of complex circular patterns
- Scaling oscillatory platform frequency reveals recurrence of intermittent postural attractor states
- Recurrence quantification analysis: Nonlinear wave dynamics in the Kuramoto-Sivashinsky equation, Response of the Tri-pendulum and FlanSea WEC and Extreme Events
- Understanding health management and safety decisions using signal processing and machine learning
- Causality Detection Methods Applied to the Investigation of Malaria Epidemics
- Identification of global and local states during seizures using quantitative functional connectivity and recurrence plot analysis
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