Donges, Jonathan F., Zou, Yong, Marwan, Norbert, Kurths, Jürgen
Complex network theory provides a powerful framework to statistically investigate the topology of local and non-local statistical interrelationships, i.e. teleconnections, in the climate system....
Phase Synchronization in a Plasma Discharge Driven by a Chaotic Signal (2008)
Epaminondas Rosa, Catalin M. Ticos, William B. Pardo, A. Walkenstein, Marco Monti, Jürgen Kurths
Abstract. Two different coupled experimental systems (the Chua circuit and a plasma discharge) are demonstrated to be capable of phase synchronizing to each other. Real-time observation of power...
Testing for phase synchronization (2008)
Carsten Allefeld, Jürgen Kurths
We present different tests for phase synchronization which improve the procedures currently used in the literature. This is accomplished by using a twosamples test setup and by utilizing insights and...
Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons (2008)
Sun, Xiaojuan, Perc, Matjaz, Lu, Qishao, Kurths, Jürgen
Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and...
Peter Saparin, Wolfgang Gowin, Alexei Zaikin, Jesper S. Thomsen, Steffen Prohaska, Hans-christian Hege, ...
The aim of the study was to assess the 3D structural composition and deterioration of human bone tissue in osteoporosis using 3D datasets of human tibia bone biopsies acquired by a micro-CT scanner....
Non-Linear Data Analysis and Statistical Techniques in Solar Radio Astronomy (2007)
Jürgen Kurths, Udo Schwarz, Annette Witt
. We have discussed some tools from nonlinear dynamics which may help to analyze transient phenomena, such as solar bursts. The structure function known from turbulence theory is an appropriate...
Statistical Versus Individual Forecasting of Life-Threatening Cardiac Arrhythmias (2007)
Niels Wessel, Udo Meyerfeldt, Christine Ziehmann, Alexander Schirdewan, Jürgen Kurths
Ventricular tachycardia or fibrillation (VT) as fatal cardiac arrhythmias are the main factors triggering sudden cardiac death. The objective of this investigation is to find early signs of sustained...
Reciprocity of Networks with Degree Correlations and Arbitrary Degree Sequences (2007)
Zlatić, Vinko, Zhou, Changsong, Štefančić, Hrvoje, Kurths, Jürgen
Although most of the real networks contain a mixture of directed and bidirectional (reciprocal) connections, the reciprocity $r$ has received little attention as a subject of theoretical...
Eigenvalue Decomposition as a Generalized Synchronization Cluster Analysis (2007)
Allefeld, Carsten, Müller, Markus, Kurths, Jürgen
Motivated by the recent demonstration of its use as a tool for the detection and characterization of phase-shape correlations in multivariate time series, we show that eigenvalue decomposition can...
Kurths, Jürgen (ed.), Fradkov, Alexander (ed.), Chen, Guanrong (ed.)
During the last few years there was a tremendous growth of scientific activities in the fields related to both Physics and Control theory: nonlinear dynamics, micro- and nanotechnologies,...
Kurths, Jürgen (ed.), Fradkov, Alexander (ed.), Chen, Guanrong (ed.)
During the last few years there was a tremendous growth of scientific activities in the fields related to both Physics and Control theory: nonlinear dynamics, micro- and nanotechnologies,...
Dynamics on Complex Networks and Applications (Preface) (2006)
Motter, Adilson E., Matías, Manuel A., Kurths, Jürgen, Ott, Edward
Preface to Volume 224, Issues 1-2, Pages 1-214 (December 2006) of Physica D: Nonlinear Phenomena: "Dynamics on Complex Networks and Applications", edited by Adilson E. Motter, Manuel A. Matías,...
Noise-induced inhibitory suppression of frequency-selective stochastic resonance (2006)
Tessone, Claudio J., Ullner, E., Zaikin, A.A., Kurths, Jürgen, Toral, Raúl
9 pages.-- PACS numbers: 05.45.-a, 87.19.La, 05.40.Ca, 87.10.+e.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.74.046220.
3.1. Trajectories in phase space... (2006)
Norbert Marwan, M. Carmen Romano, Marco Thiel, Jürgen Kurths, I. Procaccia
plots for the analysis of complex systems
Synchronization of two interacting populations of oscillators (2004)
Montbrió, Ernest, Kurths, Jürgen, Blasius, Bernd
We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior...
Testing for phase synchronization (2004)
Allefeld, Carsten, Kurths, Jürgen
We present different tests for phase synchronization which improve the procedures currently used in the literature. This is accomplished by using a two-samples test setup and by utilizing insights...
Allefeld, Carsten, Kurths, Jürgen
A method for the multivariate analysis of statistical phase synchronization phenomena in empirical data is presented. A first statistical approach is complemented by a stochastic dynamic model, to...
Allefeld, Carsten, Kurths, Jürgen
A method for the multivariate analysis of statistical phase synchronization phenomena in empirical data is presented. A first statistical approach is complemented by a stochastic dynamic model, to...
Testing for phase synchronization (2004)
Allefeld, Carsten, Kurths, Jürgen
We present different tests for phase synchronization which improve the procedures currently used in the literature. This is accomplished by using a two-samples test setup and by utilizing insights...
Peter I. Saparin, Jesper Skovhus Thomsen, Steffen Prohaska, Alexei Zaikin, Jürgen Kurths, Hans-Christian Hege, ...
Changes in trabecular bone composition during development of osteoporosis are used as a model for bone loss in microgravity conditions during a space flight.
Synchronization approach to analysis of biological systems (2004)
Michael G. Rosenblum, Arkady S. Pikovsky, Jürgen Kurths
In this article we review the application of the synchronization theory to the analysis of multivariate biological signals. We address the problem of phase estimation from data and detection and...
Experimental study of imperfect phase synchronization in the forced Lorenz system (2003)
Pujol-Peré, Antonio, Calvo, Óscar, Matías, Manuel A., Kurths, Jürgen
8 pages, 8 figures.-- PACS nr.: 05.45.Xt.-- ArXiv pre-print available at: http://arxiv.org/abs/nlin/0703013
Observing and Interpreting Correlations in Metabolomic Networks (2003)
Ralf Steuer, Jürgen Kurths, Wolfram Weckwerth, Oliver Fiehn
Introduction Metabolism is the collection of chemical interconversions that take place in all cells or organisms and drive life processes. In analogy to the terms "genome",...
c ○ World Scientific Publishing Company SURROGATE-BASED HYPOTHESIS TEST WITHOUT SURROGATES (2002)
Marco Thiel, M. Carmen Romano, Udo Schwarz, Jürgen Kurths
Fourier surrogate data are artificially generated time series, that — based on a resampling scheme — share the linear properties with an observed time series. In this paper we study a statistical...
Anishchenko, Vadim S., Kopeikin, Andrey S., Kurths, Jürgen, Strelkova, Galina I., Vadivasova, Tatjana E.
Localized Lyapunov exponents and the prediction of predictability (2000)
Ziehmann, Christine, Smith, Leonard A., Kurths, Jürgen
Every forecast should include an estimate of its likely accuracy, a current measure of predictability. Two distinct types of localized Lyapunov exponents based on infinitesimal uncertainty dynamics...
Phase transitions, complexity, and stationarity in the production of polyrhythms (2000)
Guasti, Giovanna, Engbert, Ralf, Krampe, Ralf T., Kurths, Jürgen
Contents: 1 Introduction 2 Experiment 3 Data 4 Symbolic dynamics 4.1 Symbolic dynamics as a tool for data analysis 4.2 2-symbols coding 4.3 3-symbols coding 5 Measures of complexity 5.1 Word...
Phase transitions, complexity, and stationarity in the production of polyrhythms (2000)
Guasti, Giovanna, Engbert, Ralf, Krampe, Ralf T., Kurths, Jürgen
Contents: 1 Introduction 2 Experiment 3 Data 4 Symbolic dynamics 4.1 Symbolic dynamics as a tool for data analysis 4.2 2-symbols coding 4.3 3-symbols coding 5 Measures of complexity 5.1 Word...
Phase Transitions, Complexity, and Stationarity in the Production of Polyrhythms (2000)
Giovanna Guasti, Ralf Engbert, Ralf T. Krampe, Jürgen Kurths
CONTENTS Contents 1 Introduction 3 2 Experiment 4 3 Data 5 4 Symbolic dynamics 5 4.1 Symbolic dynamics as a tool for data analysis . . . . . . . . . . . . . 5 4.2 2--symbols coding . . . . . . . . ....
Entropy Measures in Heart Rate Variability Data (2000)
Niels Wessel, Agnes Schumann, Alexander Schirdewan, Andreas Voss, Jürgen Kurths
Standard parameters of heart rate variability are restricted in measuring linear effects, whereas nonlinear descriptions often suffer from the curse of dimensionality. An approach which might be...
The bootstrap and Lyapunov exponents in deterministic chaos (1999)
Ziehmann, Christine, Smith, Leonard A., Kurths, Jürgen
Inasmuch as Lyapunov exponents provide a necessary condition for chaos in a dynamical system, confidence bounds on estimated Lyapunov exponents are of great interest. Estimates derived either from...
Phase Synchronization: From Theory to Data Analysis (1999)
Michael Rosenblum, Arkady Pikovsky, Carsten Schäfer, Peter A. Tass, Jürgen Kurths
Synchronization of coupled oscillating systems means appearance of certain relations between their phases and frequencies. Here we use this concept in order to address the inverse problem and to...
Phase Synchronization in Regular and Chaotic Systems: a Tutorial (1999)
Arkady Pikovsky, Michael Rosenblum, Jürgen Kurths
In this contribution we present a brief introduction to the theory of synchronization of self-sustained oscillators. Classical results for synchronization of periodic motions and effects of noise on...
Reconstruction of Nonlinear Time-Delayed Feedback Models From Optical Data (1999)
F62.94> x(t)) = f(x(t)) + g(x(t \Gamma ø)) ; (1) where the functions f; g; h and the delay time ø are unknown. The functions are assumed to be continuous; usually, h is the identity. By...
Equations of motion from chaotic data: A driven optical fiber ring resonator (1999)
Henning U. Voss, Andreas Schwache, Jürgen Kurths, Fedor Mitschke
We apply a recently proposed method for the reconstruction of equations of motion from a time series to experimental chaotic optical data and find the theoretically expected Ikeda model. In contrast...
c ○ World Scientific Publishing Company PHASE SYNCHRONIZATION IN REGULAR AND CHAOTIC SYSTEMS (1999)
Arkady Pikovsky, Michael Rosenblum, Jürgen Kurths
In this contribution we present a brief introduction to the theory of synchronization of selfsustained oscillators. Classical results for synchronization of periodic motions and effects of noise on...
Analysing Synchronization Phenomena from Bivariate Data by Means of the Hilbert Transform (1998)
Michael Rosenblum, Jürgen Kurths
. We use the analytic signal approach based on the Hilbert transform to compute the phase difference between two non-stationary signals and find out epochs of phase locking. In: Nonlinear Analysis of...
Analysing synchronization phenomena from bivariate data by means of the Hilbert transform (1998)
Michael Rosenblum, Jürgen Kurths
Abstract. We use the analytic signal approach based on the Hilbert transform to compute the phase difference between two non-stationary signals and find out epochs of phase locking. 1
Characterizing the dynamics of stochastic bistable systems by measures of complexity (1997)
Witt, Annette, Neiman, Alexander, Kurths, Jürgen
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case...
Tempo-induced transitions in polyrhythmic hand movements (1997)
Engbert, Ralf, Scheffczyk, Christian, Krampe, Ralf Thomas, Rosenblum, Mikhael, Kurths, Jürgen, Kliegl, Reinhold
We investigate the cognitive control in polyrhythmic hand movements as a model paradigm for bimanual coordination. Using a symbolic coding of the recorded time series, we demonstrate the existence of...
Tempo-induced transitions in polyrhythmic hand movements (1997)
Engbert, Ralf, Scheffczyk, Christian, Krampe, Ralf Thomas, Rosenblum, Mikhael, Kurths, Jürgen, Kliegl, Reinhold
We investigate the cognitive control in polyrhythmic hand movements as a model paradigm for bimanual coordination. Using a symbolic coding of the recorded time series, we demonstrate the existence of...
Characterizing the dynamics of stochastic bistable systems by measures of complexity (1997)
Witt, Annette, Neiman, Alexander, Kurths, Jürgen
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case...
Characterizing the Dynamics of Stochastic Bistable Systems By Measures of Complexity (1997)
Annette Witt, Alexander Neiman, Jürgen Kurths
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case...
Reconstruction of Nonlinear Time Delay Models From Data By the Use of Optimal Transformations (1997)
We propose a new technique for the numerical reconstruction of nonlinear delay differential equations from time series by applying the method of optimal transformations, a concept of multiple...
Phase Synchronization in Driven and Coupled Chaotic Oscillators (1997)
Michael G. Rosenblum, Arkady S. Pikovsky, Jürgen Kurths
We describe the effect of phase synchronization of chaotic oscillators. It is shown that phase can be defined for continuous time dynamical oscillators with chaotic dynamics, and effects of phase and...
Voss, Henning, Kurths, Jürgen, Schwarz, Udo
Using a special technique of data analysis, we have found out 34 grand minima of solar activity obtained from a 7,700 years long Δ14C record. The method used rests on a proper filtering of the Δ14C...
Voss, Henning, Kurths, Jürgen, Schwarz, Udo
Using a special technique of data analysis, we have found out 34 grand minima of solar activity obtained from a 7,700 years long Δ14C record. The method used rests on a proper filtering of the Δ14C...
Detection of hidden resonances in Saturn's B-ring (1995)
Thiessenhusen, Kai-Uwe, Esposito, Larry W., Kurths, Jürgen, Spahn, Frank
The Voyager 2 Photopolarimeter experiment has yielded the highest resolved data of Saturn's rings, exhibiting a wide variety of features. The B-ring region between 105000 km and 110000 km distance...
Singular continuous spectra in dissipative dynamics (1995)
Pikovsky, Arkady S., Zaks, Michael A., Feudel, Ulrike, Kurths, Jürgen
We demonstrate the occurrence of regimes with singular continuous (fractal) Fourier spectra in autonomous dissipative dynamical systems. The particular example in an ODE system at the accumulation...
Singular continuous spectra in dissipative dynamics (1995)
Pikovsky, Arkady S., Zaks, Michael A., Feudel, Ulrike, Kurths, Jürgen
We demonstrate the occurrence of regimes with singular continuous (fractal) Fourier spectra in autonomous dissipative dynamical systems. The particular example in an ODE system at the accumulation...
Detection of hidden resonances in Saturn's B-ring (1995)
Thiessenhusen, Kai-Uwe, Esposito, Larry W., Kurths, Jürgen, Spahn, Frank
The Voyager 2 Photopolarimeter experiment has yielded the highest resolved data of Saturn's rings, exhibiting a wide variety of features. The B-ring region between 105000 km and 110000 km distance...
Activity From \delta, C Data, Henning Voss, Jürgen Kurths, Udo Schwarz
Using a special technique of data analysis, we have found out 34 grand minima of solar activity obtained from a 7,700 years long \Delta 14 C record. The method used rests on a proper filtering of the...
Complexity of a quasiperiodically driven spin system (1995)
Arkady S Pikovsky, Michael A Zaks, Jürgen Kurths
Abstract. A quasiperiodically forced purely quantum spin- 1
Roughening interfaces in deterministic dynamics (1994)
Kurths, Jürgen, Pikovsky, Arkady, Scheffczyk, Christian
Two deterministic processes leading to roughening interfaces are considered. It is shown that the dynamics of linear perturbations of turbulent regimes in coupled map lattices is governed by a...
On the validity of a model for the reversals of the Earth‘s magnetic field (1994)
Witt, Annette, Kurths, Jürgen, Krause, F., Fischer, K.
We have used techniques of nonlinear dynamics to compare a special model for the reversals of the Earth's magnetic field with the observational data. Although this model is rather simple, there is no...
Quantitative analysis of heart rate variability (1994)
Kurths, Jürgen, Voss, A., Witt, Annette, Saparin, P., Kleiner, H. J., Wessel, N.
In the modern industrialized countries every year several hundred thousands of people die due to the sudden cardiac death. The individual risk for this sudden cardiac death cannot be defined...
Quantitative analysis of heart rate variability (1994)
Kurths, Jürgen, Voss, A., Witt, Annette, Saparin, P., Kleiner, H. J., Wessel, N.
In the modern industrialized countries every year several hundred thousands of people die due to the sudden cardiac death. The individual risk for this sudden cardiac death cannot be defined...
On the validity of a model for the reversals of the Earth‘s magnetic field (1994)
Witt, Annette, Kurths, Jürgen, Krause, F., Fischer, K.
We have used techniques of nonlinear dynamics to compare a special model for the reversals of the Earth's magnetic field with the observational data. Although this model is rather simple, there is no...
Roughening interfaces in deterministic dynamics (1994)
Kurths, Jürgen, Pikovsky, Arkady, Scheffczyk, Christian
Two deterministic processes leading to roughening interfaces are considered. It is shown that the dynamics of linear perturbations of turbulent regimes in coupled map lattices is governed by a...
Order patterns recurrence plots in the analysis of ERP data
Schinkel, Stefan, Marwan, Norbert, Kurths, Jürgen
Recurrence quantification analysis (RQA) is an established tool for data analysis in various behavioural sciences. In this article we present a refined notion of RQA based on order patterns. The use...
Timing Cellular Decision Making Under Noise via Cell–Cell Communication
Koseska, Aneta, Zaikin, Alexey, Kurths, Jürgen, García-Ojalvo, Jordi
Many cellular processes require decision making mechanisms, which must act reliably even in the unavoidable presence of substantial amounts of noise. However, the multistable genetic switches that...
Figueroa Helland, V. Carolina, Postnova, Svetlana, Schwarz, Udo, Kurths, Jürgen, Kundermann, Bernd, Hemmeter, Ulrich, ...
In healthy subjects, sleep has a typical structure of three to five cyclic transitions between different sleep states. In major depression, this regular pattern is often destroyed but can be...