World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Identification of Dynamical Transitions in Marine Palaeoclimate Records by Recurrence Network Analysis : Volume 18, Issue 5 (05/09/2011)

By Donges, J. F.

Click here to view

Book Id: WPLBN0003982146
Format Type: PDF Article :
File Size: Pages 18
Reproduction Date: 2015

Title: Identification of Dynamical Transitions in Marine Palaeoclimate Records by Recurrence Network Analysis : Volume 18, Issue 5 (05/09/2011)  
Author: Donges, J. F.
Volume: Vol. 18, Issue 5
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Rehfeld, K., Donner, R. V., Marwan, N., Kurths, J., Trauth, M. H., & Donges, J. F. (2011). Identification of Dynamical Transitions in Marine Palaeoclimate Records by Recurrence Network Analysis : Volume 18, Issue 5 (05/09/2011). Retrieved from

Description: Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany. The analysis of palaeoclimate time series is usually affected by severe methodological problems, resulting primarily from non-equidistant sampling and uncertain age models. As an alternative to existing methods of time series analysis, in this paper we argue that the statistical properties of recurrence networks – a recently developed approach – are promising candidates for characterising the system's nonlinear dynamics and quantifying structural changes in its reconstructed phase space as time evolves. In a first order approximation, the results of recurrence network analysis are invariant to changes in the age model and are not directly affected by non-equidistant sampling of the data. Specifically, we investigate the behaviour of recurrence network measures for both paradigmatic model systems with non-stationary parameters and four marine records of long-term palaeoclimate variations. We show that the obtained results are qualitatively robust under changes of the relevant parameters of our method, including detrending, size of the running window used for analysis, and embedding delay. We demonstrate that recurrence network analysis is able to detect relevant regime shifts in synthetic data as well as in problematic geoscientific time series. This suggests its application as a general exploratory tool of time series analysis complementing existing methods.

Identification of dynamical transitions in marine palaeoclimate records by recurrence network analysis

Abarbanel, H. D. I.: Analysis of Observed Chaotic Data (Springer, New York), 1996.; Babu, P. and Stoica, P.: Spectral analysis of nonuniformly sampled data – a review, Dig. Sign. Proc. 20, 359–378, 2010.; Barrio, R. and Serrano, S.: A three-parametric study of the Lorenz model, Physica D, 229, 43–51, 2007. {; Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., and Hwang, D.: Complex networks: Structure and dynamics, Phys. Rep., 424, 175–308, 2006.}; Brockwell, P. J. and Davis, R. A.: Introduction to Time Series and Forecasting, Springer, New York, 2nd Edn., 1991.; Brockwell, P. J. and Davis, R. A.: Time Series: Theory and Methods, Springer, New York, 2nd Edn., 2002.; Chlouverakis, K. E. and Sprott, J. C.: A comparison of correlation and Lyapunov dimensions, Physica D, 200, 156–164, 2005.; Csárdi, G. and Nepusz, T.: The \texttt{igraph} software package for complex network research, InterJournal Complex Systems, CX.18, 1695, 2006. {; Costa, L. da F., Rodrigues, F. A., Travieso, G. and Villas Boas, P. R.: Characterization of complex networks: a survey of measurements, Adv. Phys., 56, 167–242, 2007.}; deMenocal, P. B.: Plio-Pleistocene African Climate, Science, 270, 53–59, 1995.; deMenocal, P. B.: African climate change and faunal evolution during the Pliocene-Pleistocene, Earth Planet. Sci. Lett., 220, 3–24, 2004. {; Donges, J. F., Donner, R. V., Marwan, N., Trauth, M. H., Schellnhuber, H. J., and Kurths, J.: Nonlinear detection of large-scale transitions in Plio-Pleistocene African climate, in review, 2011.}; Donner, R. V. and Barbosa, S. A. (Eds.): Nonlinear Time Series Analysis in the Geosciences, Springer, Heidelberg, 2008.; Donner, R. V., Zou, Y., Donges, J. F., Marwan, N., and Kurths, J.: Recurrence networks – a novel paradigm for nonlinear time series, New J. Phys., 12, 033025, doi:10.1088/1367-2630/12/3/033025, 2010a.; Donner, R. V., Zou, Y., Donges, J. F., Marwan, N., and Kurths, J.: Ambiguities in recurrence-based complex network representations of time series, Phys. Rev. E, 81, 015101(R), doi:10.1103/PhysRevE.81.015101, 2010b. {; Donner, R. V., Small, M., Donges, J. F., Marwan, N., Zou, Y., Xiang, R., and Kurths, J.: Recurrence-based time series analysis by means of complex network methods, Int. J. Bifurc. Chaos, 21, 1019–1046, 2011a.; Donner, R. V., Heitzig, J., Donges, J. F., Zou, Y., Marwan, N., and Kurths, J.: The geometry of chaotic dynamics – A complex network perspective, Eur. Phys. J. B, doi:10.1140/epjb/e2011-10899-1 (online first), in press, 2011b.} {; Eckmann, J.-P. and Ruelle, D.: Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems, Physica D, 56, 185–187, 1992.}; Eckmann, J.-P., Kamphorst, S. O. and Ruelle, D.: Recurrence plots of dynamical systems, Europhys. Lett., 4, 973–977, 1987. {; Elsner, J. B., Jagger, T. H., and Fogarty, E. A.: Visibility network of United States hurricanes, Geophys. Res. Lett., 36, L16702, doi:10.1029/2009GL039129, 2009.}; Foster, G.: Time Series Analysis by Projection, I. Statistical Properties of Fourier Analysis, Astron. J., 111, 541–554, 1996a.; Foster, G.: Time Series Analysis by Projection, II. Tensor Methods for Time Series Analysis, Astron. J., 111, 555–566, 1996b.; Fraser, A. M. and Swinney, H. L.: Independent coordinates for strange attractors from mutual information, Phys. Rev. A, 33, 1134–1140, 1986.; Gámez, A. J., Zhou, C. S., Timmermann, A., and Kurths, J.: Nonlinear dimensionality reduction in climate data, Nonlin. Processes Geophys., 11, 393–398, doi:10.5194/npg-11-393-2004, 2004.; Gibson, J. F., Farmer, J. D., Casdagli, M., and Eubank, S.: An analytic approach to practical state sp


Click To View

Additional Books

  • An Experimental Investigation on Ellipti... (by )
  • Application of the Leps Technique for Qu... (by )
  • Intergyre Transport in a Wind-driven, Qu... (by )
  • Using Sparse Regularization for Multires... (by )
  • State Dependent Predictability: Impact o... (by )
  • Data Assimilation of Two-dimensional Geo... (by )
  • Renormalization Group Theory of Earthqua... (by )
  • Kinetic Slow Mode-type Solitons : Volume... (by )
  • Weighted Complex Networks Applied to Sei... (by )
  • Features of Criticality in Precursory Se... (by )
  • Conditional Nonlinear Optimal Perturbati... (by )
  • A Probabilistic Seismic Hazard Model Bas... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.