@article{FeudelJansenKurthsetal.1997, author = {Feudel, Ulrike and Jansen, Wolfgang and Kurths, J{\"u}rgen and Schwarz, Udo and Voss, Henning U.}, title = {Solar variability : simple models and proxy data}, isbn = {4-274-90187-4}, year = {1997}, language = {en} } @article{KolodnerAbelKurthsetal.1999, author = {Kolodner, P. and Abel, Markus and Kurths, J{\"u}rgen and Voss, Henning U.}, title = {Amplitude equations from spatiotemporal binary-fluid convection data}, year = {1999}, language = {en} } @article{SchwacheKurthsMitschkeetal.1999, author = {Schwache, A. and Kurths, J{\"u}rgen and Mitschke, F. and Voss, Henning U.}, title = {Equations of motion from chaotic data : a driven optical fiber ring resonator}, year = {1999}, language = {en} } @article{SitzSchwarzKurthsetal.2002, author = {Sitz, Andre and Schwarz, Udo and Kurths, J{\"u}rgen and Voss, Henning U.}, title = {Estimation of parameters and unobserved components for nonlinear systems from noisy time series}, year = {2002}, abstract = {We study the problem of simultaneous estimation of parameters and unobserved states from noisy data of nonlinear time-continuous systems, including the case of additive stochastic forcing. We propose a solution by adapting the recently developed statistical method of unscented Kalman filtering to this problem. Due to its recursive and derivative-free structure, this method minimizes the cost function in a computationally efficient and robust way. It is found that parameters as well as unobserved components can be estimated with high accuracy, including confidence bands, from heavily noise-corrupted data.}, language = {en} } @article{TimmerSchwarzVossetal.2000, author = {Timmer, Jens and Schwarz, Udo and Voss, Henning U. and Wardinski, Ingo and Belloni, Tomaso and Hasinger, G{\"u}nther and VanDerKlis, Michael and Kurths, J{\"u}rgen}, title = {Linear and Nonlinear Time Series Analysis of the Black Hole Candidate Cygnus X-1}, year = {2000}, abstract = {We analyze the variability in the x-ray lightcurves of the black hole candidate Cygnus X-1 by linear and nonlinear time series analysis methods. While a linear model describes the overall second order properties of the observed data well, surrogate data analysis reveals a significant deviation from linearity. We discuss the relation between shot noise models usually applied to analyze these data and linear stochastic autoregressive models. We debate statistical and interpretational issues of surrogate data testing for the present context. Finally, we suggest a combination of tools from linear and nonlinear time series analysis methods as a procedure to test the predictions of astrophysical models on observed data.}, language = {en} } @phdthesis{Voss1998, author = {Voss, Henning U.}, title = {Nichtlineare statistische Methoden zur Datenanalyse}, pages = {126 S. : graph. Darst.}, year = {1998}, language = {de} } @phdthesis{Voss1999, author = {Voss, Henning U.}, title = {Nichtlineare statistische Methoden zur Datenanalyse}, series = {Stoffdynamik in Geosystemen}, volume = {3}, journal = {Stoffdynamik in Geosystemen}, publisher = {Selbstverl. der Arbeitsgruppe Stoffdynamik in Geosystemen}, address = {Potsdam}, issn = {0949-4731}, pages = {158 S. : graph. Darst.}, year = {1999}, language = {de} } @article{VossBuennerAbel1998, author = {Voss, Henning U. and B{\"u}nner, M. J. and Abel, Markus}, title = {Identification of continuous, spatiotemporal systems}, year = {1998}, language = {en} } @article{VossKurths1998, author = {Voss, Henning U. and Kurths, J{\"u}rgen}, title = {Test for nonlinear dynamical behavior in symbol sequences}, year = {1998}, language = {en} } @article{VossKurths1997, author = {Voss, Henning U. and Kurths, J{\"u}rgen}, title = {Reconstruction of nonlinear time delay models from data by the use of optimal transformations}, year = {1997}, language = {en} }