Nonlinear dynamical system identification from uncertain and indirect measurements. Zbl 1129.93545
Voss, Henning U.; Timmer, Jens; Kurths, Jürgen |
|
2004
|
Comparison of linear signal processing techniques to infer directed interactions in multivariate neural systems. Zbl 1160.94369
Winterhalder, Matthias; Schelter, Björn; Hesse, Wolfram; Schwab, Karin; Leistritz, Lutz; Klan, Daniel; Bauer, Reinhard; Timmer, Jens; Witte, Herbert |
|
2005
|
Parametric, nonparametric and parametric modelling of a chaotic circuit time series. Zbl 1055.37586
Timmer, J.; Rust, H.; Horbelt, W.; Voss, H. U. |
|
2000
|
Parameter estimation in nonlinear delayed feedback systems from noisy data. Zbl 0996.37077
Horbelt, W.; Timmer, J.; Voss, H. U. |
|
2002
|
Joining forces of Bayesian and frequentist methodology: a study for inference in the presence of non-identifiability. Zbl 1353.62013
Raue, Andreas; Kreutz, Clemens; Theis, Fabian Joachim; Timmer, Jens |
|
2013
|
Identifiability and observability analysis for experimental design in nonlinear dynamical models. Zbl 1311.92066
Raue, A.; Becker, V.; Klingmüller, U.; Timmer, J. |
|
2010
|
Parameter identification techniques for partial differential equations. Zbl 1062.35177
Müller, T. G.; Timmer, J. |
|
2004
|
Fitting parameters in partial differential equations from partially observed noisy data. Zbl 1009.65062
Müller, T. G.; Timmer, J. |
|
2002
|
Parameter estimation in nonlinear stochastic differential equations. Zbl 0956.62070
Timmer, J. |
|
2000
|
Handbook of time series analysis: Recent theoretical developments and applications. Zbl 1104.62328
|
|
2006
|
A test for a difference between spectral peak frequencies. Zbl 1042.62512
Timmer, J.; Lauk, M.; Vach, W.; Lücking, C. H. |
|
1999
|
Pathological tremors: Deterministic chaos or nonlinear stochastic oscillators? Zbl 0990.92020
Timmer, J.; Häussler, S.; Lauk, M.; Lücking, C.-H. |
|
2000
|
Modeling noisy time series: Physiological tremor. Zbl 0937.92006
Timmer, J. |
|
1998
|
Sensitivity and specificity of coherence and phase synchronization analysis. Zbl 1160.37351
Winterhalder, Matthias; Schelter, Björn; Kurths, Jürgen; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2006
|
Signatures of nonlinearity in single cell noise-induced oscillations. Zbl 1397.92176
Thomas, Philipp; Straube, Arthur V.; Timmer, Jens; Fleck, Christian; Grima, Ramon |
|
2013
|
High-dimensional Bayesian parameter estimation: case study for a model of JAK2/STAT5 signaling. Zbl 1284.62174
Hug, S.; Raue, A.; Hasenauer, J.; Bachmann, J.; Klingmüller, U.; Timmer, J.; Theis, F. J. |
|
2013
|
Analyzing the dynamics of hand tremor time series. Zbl 0825.92057
Gantert, C.; Honerkamp, J.; Timmer, J. |
|
1992
|
Cross-spectral analysis of physiological tremor and muscle acticity. I: Theory and application to unsynchronized electromyogram. Zbl 0908.92016
Timmer, J.; Lauk, M.; Pfleger, W.; Deuschl, G. |
|
1998
|
Modeling the nonlinear dynamics of cellular signal transduction. Zbl 1065.92018
Timmer, J.; Müller, T. G.; Swameye, I.; Sandra, O.; Klingmüller, U. |
|
2004
|
Characteristics of hand tremor time series. Zbl 0800.92116
Timmer, J.; Gantert, C.; Deuschl, G.; Honerkamp, J. |
|
1993
|
Revealing direction of coupling between neuronal oscillators from time series: Phase dynamics modeling versus partial directed coherence. Zbl 1159.37394
Smirnov, Dmitry; Schelter, Bjoern; Winterhalder, Matthias; Timmer, Jens |
|
2007
|
Surrogate data – a qualitative and quantitative analysis. Zbl 1272.62058
Maiwald, Thomas; Mammen, Enno; Nandi, Swagata; Timmer, Jens |
|
2008
|
Cross-spectral analysis of tremor time series. Zbl 0967.92010
Timmer, J.; Lauk, M.; Häußler, S.; Radt, V.; Köster, B.; Hellwig, B.; Guschlbauer, B.; Lücking, C. H.; Eichler, M.; Deuschl, G. |
|
2000
|
Comparison of three nonlinear seizure prediction methods by means of the seizure prediction characteristic. Zbl 1055.92026
Maiwald, Thomas; Winterhalder, Matthias; Aschenbrenner-Scheibe, Richard; Voss, Henning U.; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2004
|
Testing statistical significance of multivariate time series analysis techniques for epileptic seizure prediction. Zbl 1144.37405
Schelter, Björn; Winterhalder, Matthias; Maiwald, Thomas; Brandt, Armin; Schad, Ariane; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2006
|
Cross-spectral analysis of physiological tremor and muscle activity. II: Application to synchronized electromyogram. Zbl 0908.92017
Timmer, J.; Lauk, M.; Pfleger, W.; Deuschl, G. |
|
1998
|
Asymptotic scaling laws for precision of parameter estimates in dynamical systems. Zbl 1020.37052
Horbelt, W.; Timmer, J. |
|
2003
|
The impact of latent confounders in directed network analysis in neuroscience. Zbl 1353.92031
Ramb, Rebecca; Eichler, Michael; Ing, Alex; Thiel, Marco; Weiller, Cornelius; Grebogi, Celso; Schwarzbauer, Christian; Timmer, Jens; Schelter, Björn |
|
2013
|
Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040
Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. |
|
2002
|
Mathematical methods in signal processing and digital image analysis. Zbl 1130.68006
|
|
2008
|
A numerically efficient implementation of the expectation maximization algorithm for state space models. Zbl 1335.62137
Mader, Wolfgang; Linke, Yannick; Mader, Malenka; Sommerlade, Linda; Timmer, Jens; Schelter, Björn |
|
2014
|
Confidence regions for spectral peak frequencies. Zbl 0902.62117
Timmer, Jens; Lauk, M.; Lücking, C. H. |
|
1997
|
Dynamical modelling of measured time series from a Q-switched CO\(_{2}\) laser. Zbl 1033.37040
Horbelt, W.; Timmer, J.; Bünner, M. J.; Meucci, R.; Ciofini, M. |
|
2003
|
Finite sample properties of the maximum likelihood estimator and of likelihood ratio tests in hidden Markov models. Zbl 0986.62066
Michalek, S.; Wagner, M.; Timmer, J.; Vach, W. |
|
2001
|
Analysis of multichannel patch clamp recordings by hidden Markov models. Zbl 0891.62083
Klein, Stefan; Timmer, Jens; Honerkamp, Josef |
|
1997
|
Optimal weighted Bayesian design applied to dose-response-curve analysis. Zbl 0954.62555
Lauer, S.; Timmer, J.; van Calker, D.; Maier, D.; Honerkamp, J. |
|
1997
|
A combined approach for the identification of continuous nonlinear systems. Zbl 1078.93021
Voss, H. U.; Rust, H.; Horbelt, W.; Timmer, J. |
|
2003
|
Non-parametric identification of non-linear oscillating systems. Zbl 1236.74005
Peifer, M.; Timmer, J.; Voss, H. U. |
|
2003
|
Multivariate time series analysis. Zbl 1272.62061
Schelter, Björn; Dahlhaus, Rainer; Leistritz, Lutz; Hesse, Wolfram; Schack, Bärbel; Kurths, Jürgen; Timmer, Jens; Witte, Herbert |
|
2008
|
Detecting multimodality in saccadic reaction time distributions in gap and overlap tasks. Zbl 1081.91609
Gezeck, Stefan; Timmer, Jens |
|
1998
|
Early detection of upper airway obstructions by analysis of acoustical respiratory input impedance. Zbl 0928.92016
Reisch, S.; Steltner, H.; Timmer, J.; Renotte, C.; Guttmann, J. |
|
1999
|
Estimating parameters in differential equations with application to laser data. Zbl 0980.34005
Timmer, Jens; Horbelt, Werner; Bünner, Martin; Meucci, Ricardo; Ciofini, Marco |
|
2000
|
On studentising and blocklength selection for the bootstrap on time series. Zbl 1442.62565
Peifer, M.; Schelter, B.; Guschlbauer, B.; Hellwig, B.; Lücking, C. H.; Timmer, J. |
|
2005
|
Tests for cycling in a signalling pathway. Zbl 1111.62357
Müller, T. G.; Faller, D.; Timmer, J.; Swameye, I.; Sandra, O.; Klingmüller, U. |
|
2004
|
Phase synchronization and coherence analysis; Sensitivity and specificity. Zbl 1141.37398
Schelter, Björn; Winterhalder, Matthias; Timmer, Jens; Kurths, Jürgen |
|
2007
|
Detecting coupling directions in multivariate oscillatory systems. Zbl 1141.37400
Winterhalder, Matthias; Schelter, Björn; Timmer, Jens |
|
2007
|
A numerically efficient implementation of the expectation maximization algorithm for state space models. Zbl 1335.62137
Mader, Wolfgang; Linke, Yannick; Mader, Malenka; Sommerlade, Linda; Timmer, Jens; Schelter, Björn |
|
2014
|
Joining forces of Bayesian and frequentist methodology: a study for inference in the presence of non-identifiability. Zbl 1353.62013
Raue, Andreas; Kreutz, Clemens; Theis, Fabian Joachim; Timmer, Jens |
|
2013
|
Signatures of nonlinearity in single cell noise-induced oscillations. Zbl 1397.92176
Thomas, Philipp; Straube, Arthur V.; Timmer, Jens; Fleck, Christian; Grima, Ramon |
|
2013
|
High-dimensional Bayesian parameter estimation: case study for a model of JAK2/STAT5 signaling. Zbl 1284.62174
Hug, S.; Raue, A.; Hasenauer, J.; Bachmann, J.; Klingmüller, U.; Timmer, J.; Theis, F. J. |
|
2013
|
The impact of latent confounders in directed network analysis in neuroscience. Zbl 1353.92031
Ramb, Rebecca; Eichler, Michael; Ing, Alex; Thiel, Marco; Weiller, Cornelius; Grebogi, Celso; Schwarzbauer, Christian; Timmer, Jens; Schelter, Björn |
|
2013
|
Identifiability and observability analysis for experimental design in nonlinear dynamical models. Zbl 1311.92066
Raue, A.; Becker, V.; Klingmüller, U.; Timmer, J. |
|
2010
|
Surrogate data – a qualitative and quantitative analysis. Zbl 1272.62058
Maiwald, Thomas; Mammen, Enno; Nandi, Swagata; Timmer, Jens |
|
2008
|
Mathematical methods in signal processing and digital image analysis. Zbl 1130.68006
|
|
2008
|
Multivariate time series analysis. Zbl 1272.62061
Schelter, Björn; Dahlhaus, Rainer; Leistritz, Lutz; Hesse, Wolfram; Schack, Bärbel; Kurths, Jürgen; Timmer, Jens; Witte, Herbert |
|
2008
|
Revealing direction of coupling between neuronal oscillators from time series: Phase dynamics modeling versus partial directed coherence. Zbl 1159.37394
Smirnov, Dmitry; Schelter, Bjoern; Winterhalder, Matthias; Timmer, Jens |
|
2007
|
Phase synchronization and coherence analysis; Sensitivity and specificity. Zbl 1141.37398
Schelter, Björn; Winterhalder, Matthias; Timmer, Jens; Kurths, Jürgen |
|
2007
|
Detecting coupling directions in multivariate oscillatory systems. Zbl 1141.37400
Winterhalder, Matthias; Schelter, Björn; Timmer, Jens |
|
2007
|
Handbook of time series analysis: Recent theoretical developments and applications. Zbl 1104.62328
|
|
2006
|
Sensitivity and specificity of coherence and phase synchronization analysis. Zbl 1160.37351
Winterhalder, Matthias; Schelter, Björn; Kurths, Jürgen; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2006
|
Testing statistical significance of multivariate time series analysis techniques for epileptic seizure prediction. Zbl 1144.37405
Schelter, Björn; Winterhalder, Matthias; Maiwald, Thomas; Brandt, Armin; Schad, Ariane; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2006
|
Comparison of linear signal processing techniques to infer directed interactions in multivariate neural systems. Zbl 1160.94369
Winterhalder, Matthias; Schelter, Björn; Hesse, Wolfram; Schwab, Karin; Leistritz, Lutz; Klan, Daniel; Bauer, Reinhard; Timmer, Jens; Witte, Herbert |
|
2005
|
On studentising and blocklength selection for the bootstrap on time series. Zbl 1442.62565
Peifer, M.; Schelter, B.; Guschlbauer, B.; Hellwig, B.; Lücking, C. H.; Timmer, J. |
|
2005
|
Nonlinear dynamical system identification from uncertain and indirect measurements. Zbl 1129.93545
Voss, Henning U.; Timmer, Jens; Kurths, Jürgen |
|
2004
|
Parameter identification techniques for partial differential equations. Zbl 1062.35177
Müller, T. G.; Timmer, J. |
|
2004
|
Modeling the nonlinear dynamics of cellular signal transduction. Zbl 1065.92018
Timmer, J.; Müller, T. G.; Swameye, I.; Sandra, O.; Klingmüller, U. |
|
2004
|
Comparison of three nonlinear seizure prediction methods by means of the seizure prediction characteristic. Zbl 1055.92026
Maiwald, Thomas; Winterhalder, Matthias; Aschenbrenner-Scheibe, Richard; Voss, Henning U.; Schulze-Bonhage, Andreas; Timmer, Jens |
|
2004
|
Tests for cycling in a signalling pathway. Zbl 1111.62357
Müller, T. G.; Faller, D.; Timmer, J.; Swameye, I.; Sandra, O.; Klingmüller, U. |
|
2004
|
Asymptotic scaling laws for precision of parameter estimates in dynamical systems. Zbl 1020.37052
Horbelt, W.; Timmer, J. |
|
2003
|
Dynamical modelling of measured time series from a Q-switched CO\(_{2}\) laser. Zbl 1033.37040
Horbelt, W.; Timmer, J.; Bünner, M. J.; Meucci, R.; Ciofini, M. |
|
2003
|
A combined approach for the identification of continuous nonlinear systems. Zbl 1078.93021
Voss, H. U.; Rust, H.; Horbelt, W.; Timmer, J. |
|
2003
|
Non-parametric identification of non-linear oscillating systems. Zbl 1236.74005
Peifer, M.; Timmer, J.; Voss, H. U. |
|
2003
|
Parameter estimation in nonlinear delayed feedback systems from noisy data. Zbl 0996.37077
Horbelt, W.; Timmer, J.; Voss, H. U. |
|
2002
|
Fitting parameters in partial differential equations from partially observed noisy data. Zbl 1009.65062
Müller, T. G.; Timmer, J. |
|
2002
|
Parameter identification in dynamical models of anaerobic waste water treatment. Zbl 0999.92040
Müller, T. G.; Noykova, N.; Gyllenberg, M.; Timmer, J. |
|
2002
|
Finite sample properties of the maximum likelihood estimator and of likelihood ratio tests in hidden Markov models. Zbl 0986.62066
Michalek, S.; Wagner, M.; Timmer, J.; Vach, W. |
|
2001
|
Parametric, nonparametric and parametric modelling of a chaotic circuit time series. Zbl 1055.37586
Timmer, J.; Rust, H.; Horbelt, W.; Voss, H. U. |
|
2000
|
Parameter estimation in nonlinear stochastic differential equations. Zbl 0956.62070
Timmer, J. |
|
2000
|
Pathological tremors: Deterministic chaos or nonlinear stochastic oscillators? Zbl 0990.92020
Timmer, J.; Häussler, S.; Lauk, M.; Lücking, C.-H. |
|
2000
|
Cross-spectral analysis of tremor time series. Zbl 0967.92010
Timmer, J.; Lauk, M.; Häußler, S.; Radt, V.; Köster, B.; Hellwig, B.; Guschlbauer, B.; Lücking, C. H.; Eichler, M.; Deuschl, G. |
|
2000
|
Estimating parameters in differential equations with application to laser data. Zbl 0980.34005
Timmer, Jens; Horbelt, Werner; Bünner, Martin; Meucci, Ricardo; Ciofini, Marco |
|
2000
|
A test for a difference between spectral peak frequencies. Zbl 1042.62512
Timmer, J.; Lauk, M.; Vach, W.; Lücking, C. H. |
|
1999
|
Early detection of upper airway obstructions by analysis of acoustical respiratory input impedance. Zbl 0928.92016
Reisch, S.; Steltner, H.; Timmer, J.; Renotte, C.; Guttmann, J. |
|
1999
|
Modeling noisy time series: Physiological tremor. Zbl 0937.92006
Timmer, J. |
|
1998
|
Cross-spectral analysis of physiological tremor and muscle acticity. I: Theory and application to unsynchronized electromyogram. Zbl 0908.92016
Timmer, J.; Lauk, M.; Pfleger, W.; Deuschl, G. |
|
1998
|
Cross-spectral analysis of physiological tremor and muscle activity. II: Application to synchronized electromyogram. Zbl 0908.92017
Timmer, J.; Lauk, M.; Pfleger, W.; Deuschl, G. |
|
1998
|
Detecting multimodality in saccadic reaction time distributions in gap and overlap tasks. Zbl 1081.91609
Gezeck, Stefan; Timmer, Jens |
|
1998
|
Confidence regions for spectral peak frequencies. Zbl 0902.62117
Timmer, Jens; Lauk, M.; Lücking, C. H. |
|
1997
|
Analysis of multichannel patch clamp recordings by hidden Markov models. Zbl 0891.62083
Klein, Stefan; Timmer, Jens; Honerkamp, Josef |
|
1997
|
Optimal weighted Bayesian design applied to dose-response-curve analysis. Zbl 0954.62555
Lauer, S.; Timmer, J.; van Calker, D.; Maier, D.; Honerkamp, J. |
|
1997
|
Characteristics of hand tremor time series. Zbl 0800.92116
Timmer, J.; Gantert, C.; Deuschl, G.; Honerkamp, J. |
|
1993
|
Analyzing the dynamics of hand tremor time series. Zbl 0825.92057
Gantert, C.; Honerkamp, J.; Timmer, J. |
|
1992
|