Comparison of recurrence quantification methods for the analysis of temporal and spatial chaos
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[1] I. Aranson,et al. The world of the complex Ginzburg-Landau equation , 2001, cond-mat/0106115.
[2] Joseph P. Zbilut,et al. Recurrence quantification analysis and state space divergence reconstruction for financial time series analysis , 2007 .
[3] Remigiusz Tarnecki,et al. Recurrence plots of neuronal spike trains , 1993, Biological Cybernetics.
[4] Paul Manneville,et al. Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation , 2016, 1608.07519.
[5] Chiara Mocenni,et al. Spatial recurrence strategies reveal different routes to Turing pattern formation in chemical systems , 2009 .
[6] M. Kac. On the notion of recurrence in discrete stochastic processes , 1947 .
[7] J. Kurths,et al. Recurrence-plot-based measures of complexity and their application to heart-rate-variability data. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Julie C. Mitchell,et al. Singular hydrophobicity patterns and net charge: a mesoscopic principle for protein aggregation/folding , 2004 .
[9] Andrew M. Liebhold,et al. Spatial Synchrony in Population Dynamics , 2004 .
[10] Y. Kuznetsov. Elements of applied bifurcation theory (2nd ed.) , 1998 .
[11] Robert Graham,et al. Hydrodynamic fluctuations near the convection instability , 1974 .
[12] M. Thiel,et al. Cross recurrence plot based synchronization of time series , 2002, physics/0201062.
[13] A. Vicino,et al. Nonlinear time series analysis of dissolved oxygen in the Orbetello Lagoon (Italy) , 2007 .
[14] H. Kantz,et al. Curved structures in recurrence plots: the role of the sampling time. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[15] Jürgen Kurths,et al. Recurrence plots for the analysis of complex systems , 2009 .
[16] M. Cross,et al. Pattern formation outside of equilibrium , 1993 .
[17] Antonio Vicino,et al. Generalized recurrence plots for the analysis of images from spatially distributed systems , 2009 .
[18] S. C. Li,et al. Identifying spatial pattern of NDVI series dynamics using recurrence quantification analysis , 2008 .
[19] Antonio Vicino,et al. Identification of bifurcations of distributed systems using Generalized Recurrence Quantification Analysis , 2009 .
[20] Joseph P. Zbilut,et al. Characterization of regime shifts in environmental time series with recurrence quantification analysis , 2008 .
[21] D. Ruelle,et al. Recurrence Plots of Dynamical Systems , 1987 .
[22] Stephen A. Billings,et al. State-Space Reconstruction and Spatio-Temporal Prediction of Lattice Dynamical Systems , 2007, IEEE Transactions on Automatic Control.
[23] Vladimir K. Vanag,et al. Segmented spiral waves in a reaction-diffusion system , 2003, Proceedings of the National Academy of Sciences of the United States of America.
[24] S. Cox,et al. Exponential Time Differencing for Stiff Systems , 2002 .
[25] R. Grima. Multiscale modeling of biological pattern formation. , 2008, Current topics in developmental biology.
[26] R. Solé,et al. Spatial Forecasting: Detecting Determinism from Single Snapshots , 2002, Int. J. Bifurc. Chaos.
[27] J. Zbilut,et al. Recurrence quantification analysis as a tool for nonlinear exploration of nonstationary cardiac signals. , 2002, Medical engineering & physics.
[28] J. Kurths,et al. Estimation of dynamical invariants without embedding by recurrence plots. , 2004, Chaos.
[29] H. Kantz,et al. Recurrence plot analysis of nonstationary data: the understanding of curved patterns. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] Paul Manneville,et al. Phase turbulence in the two-dimensional complex Ginzburg-Landau equation , 1996 .
[31] Norbert Marwan,et al. Extended Recurrence Plot Analysis and its Application to ERP Data , 2002, Int. J. Bifurc. Chaos.
[32] H. Meinhardt,et al. A theory of biological pattern formation , 1972, Kybernetik.
[33] J. Zbilut,et al. Recurrence quantification in epileptic EEGs , 2001 .
[34] Henry D. I. Abarbanel,et al. Analysis of Observed Chaotic Data , 1995 .
[35] J. Sherratt,et al. Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion , 2009, Proceedings of the National Academy of Sciences.
[36] Jürgen Kurths,et al. Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm , 2022 .
[37] C L Webber,et al. Dynamical assessment of physiological systems and states using recurrence plot strategies. , 1994, Journal of applied physiology.
[38] Huber,et al. Nucleation and transients at the onset of vortex turbulence. , 1992, Physical review letters.
[39] Steven H. Strogatz,et al. Nonlinear Dynamics and Chaos , 2024 .
[40] J. Kurths,et al. Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods , 2003, nlin/0303056.
[41] H. Kantz,et al. Optimizing of recurrence plots for noise reduction. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[42] Y. Kuznetsov. Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.
[43] H. Kantz,et al. Nonlinear time series analysis , 1997 .