Kolmogorov-Sinai entropy from recurrence times (2009)
Baptista, M. S., Ngamga, E. J., Pinto, Paulo R. F., Brito, Margarida, Kurths, J.
Observing how long a dynamical system takes to return to some state is one of the most simple ways to model and quantify its dynamics from data series. This work proposes two formulas to estimate the...
Current Reversals and Synchronization in Coupled Ratchets (2009)
Vincent, U. E., Kenfack, A., Senthilkumar, D. V., Mayer, D., Kurths, J.
Current reversal is an intriguing phenomenon that has been central to recent experimental and theoretical investigations of transport based on ratchet mechanism. By considering a system of two...
Complex Network Approach for Recurrence Analysis of Time Series (2009)
Marwan, N., Donges, J. F., Zou, Y., Donner, R. V., Kurths, J.
We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a complex network, and...
Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory (2009)
Senthilkumar, D. V., Kurths, J., Lakshmanan, M.
Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for...
Inverse synchronizations in coupled time-delay systems with inhibitory coupling (2009)
Senthilkumar, D. V., Kurths, J., Lakshmanan, M.
Transitions between inverse anticipatory, inverse complete and inverse lag synchronizations are shown to occur as a function of the coupling delay in unidirectionally coupled time-delay systems with...
DOI: 10.1140/epjst/e2007-00176-9 THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS (2009)
T. Pereira, M. S. Baptista, J. Kurths
Multi-time-scale synchronization and information
Limitations of red noise in analysing Dansgaard-Oeschger events (2009)
H. Braun, P. Ditlevsen, J. Kurths, M. Mudelsee
During the last glacial period, climate records from the North Atlantic region exhibit a pronounced spectral component corresponding to a period of about 1470 years, which has attracted much...
Testing foetal - maternal heart rate synchronization via model-based analyses. (2009)
Riedl, M., Van Leeuwen, P., Suhrbier, A., Malberg, H., Grönemeyer, D., Kurths, J., ...
Philosophical Transactions of the Royal Society A, 367(2009) S.1407-21
Retzlaff, B., Bauernschmitt, R., Malberg, H., Brockmann, G., Uhl, C., Lange, R., ...
Philosophical Transactions of the Royal Society A, 367(2009) S.1251-63
Detection of time-delayed interactions in biosignals using symbolic coupling traces. (2009)
Wessel, N., Suhrbier, A., Riedl, M., Marwan, N., Malberg, H., Bretthauer, G., ...
EPL, 87(2009) S.10004/1-5
Phase Synchronization in Unidirectionally Coupled Ikeda Time-delay Systems (2008)
Senthilkumar, D. V., Lakshmanan, M., Kurths, J.
Phase synchronization in unidirectionally coupled Ikeda time-delay systems exhibiting non-phase-coherent hyperchaotic attractors of complex topology with highly interwoven trajectories is studied. It...
Transition from phase to generalized synchronization in time-delay systems (2008)
Senthilkumar, D. V., Lakshmanan, M., Kurths, J.
The notion of phase synchronization in time-delay systems, exhibiting highly non-phase-coherent attractors, has not been realized yet even though it has been well studied in chaotic dynamical systems...
Baptista, M. S., Garcia, S. P., Dana, S. K., Kurths, J.
We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results...
Reconstruction of eye movements during blinks (2008)
Baptista, M. S., Bohn, C., Kliegl, R., Engbert, R., Kurths, J.
In eye movement research in reading, the amount of data plays a crucial role for the validation of results. A methodological problem for the analysis of the eye movement in reading are blinks, when...
12 Phase Synchronization of Regular and Chaotic oscillators (2008)
A. S. Pikovsky, M. G. Rosenblum, M. A. Zaks, J. Kurths
Synchronization, a basic nonlinear phenomenon, discovered at the beginning of the modern age of science by Huygens [1], is widely encountered in various fields of science, often observed in living...
Reconstruction of eye movements during blinks (2008)
Baptista, M.S., Bohn, C., Kliegl, R., Engbert, R., Kurths, J.
Reconstruction of eye movements during blinks (2008)
Baptista, M.S., Bohn, C., Kliegl, R., Engbert, R., Kurths, J.
Multistability of synthetic genetic networks with repressive cell-to-cell communication (2008)
Ullner, E., Koseska, A., Kurths, J., Volkov, E., Kantz, H., Garcia-Ojalvo, J.
Model-based analysis of cardiovascular variability by a non-linear regression approach. (2008)
Riedl, M., Suhrbier, A., Malberg, H., Penzel, T., Bretthauer, G., Kurths, J., ...
Malberg, H. [Hrsg.]
Riedl, M., Suhrbier, A., Kurths, J., Malberg, H., Wessel, N.
31.Wissenschaftlicher Kongress 'Hypertonie 2007', Tagung der Deutschen Hochdruckliga, Bochum, 22.-24. November 2007
Suhrbier, A., Malhlberg, H., Kurths, J., Riedl, M., Bretthauer, G., Stepan, H., ...
31.Wissenschaftlicher Kongress 'Hypertonie 2007', Tagung der Deutschen Hochdruckliga, Bochum, 22.-24. November 2007 Deutsche Medizinische Wochenschrift, 132(2007) Suppl.1, S.S22 (Abstract)
Riedl, M., Suhrbier, A., Malberg, H., Penzel, T., Bretthauer, G., Kurths, J., ...
Physical Review E, 78(2008) S.011919/1-9
Transmission of Information in Active Networks (2007)
Shannon's Capacity Theorem is the main concept behind the Theory of Communication. It says that if the amount of information contained in a signal is smaller than the channel capacity of a physical...
Modeling Qualitative Changes in Bimanual Movements (2007)
C. Scheffczyk, A. Zaikin, M. Rosenblum, R. Engbert, R. Krampe, J. Kurths
this paper we present an iterated map model to explain main findings of these experiments. The model consists of two iterated maps describing the dynamics of the finger movements. The essential...
Roughening Interfaces in Deterministic Dynamics (2007)
J. Kurths, A. Pikovsky, C. Scheffczyk
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...
H. Voss, J. Kurths, U. Schwarz
Using a special technique of data analysis, we have found 34 grand minima of solar activity in a 7700--year--long \Delta 14 C record. The method used rests on a proper filtering of the \Delta 14 C...
Symbolic Dynamics for Medical Data Analysis (2007)
N. Wessel, N. Wessel, U. Schwarz, U. Schwarz, P. I. Saparin, P. I. Saparin, ...
Observational data of natural systems, as measured in medical measurements are typically quite different from those obtained in laboratories. Due to the peculiarities of these data, well-known...
A. Voss, N. Wessel, V. Baier, J. Kurths, R. Dietz
The aim of this paper is to discuss the ability of symbolic dynamics as a nonlinear approach to analyze heart rate and blood pressure variability for an improved characterization of different...
Self-organization of spatio-temporal earthquake clusters, Nonl (2007)
S. Hainzl, S. Hainzl, S. Hainzl, G. Zoller, G. Zoller, J. Kurths, ...
Abstract. Cellular automaton versions of the BurridgeKnopoff model have been shown to reproduce the power law distribution of event sizes; that is, the GutenbergRichter law. However, they have failed...
S. Hainzl, G. Zoller, J. Kurths
We introduce a crust relaxation process in a continuous cellular automaton version of the Burridge-Knopoff model. The most important model parameters are the level of conservation and the ratio of...
ASTRONOMY AND ASTROPHYSICS (2007)
U. Schwarz, A. O. Benz, J. Kurths, A. Witt
A&A manuscript no. (will be inserted by hand later) Your thesaurus codes are:
Natural Hazards 26: 245--263, 2002. (2007)
Systematic Test On, G. Zöller, S. Hainzl, J. Kurths, J. Zschau
A systematic test on seismic quiescence occurring before large earthquakes is conducted. For a fixed geographical location, the degree of clustering in space and time is analysed and the results are...
A. Zaikin, W. Gowin, S. Prohaska, J. Kurths
To understand the physical mechanism behind the bone reconstruction, to predict the bone loss, and provide test objects for newly developed structural measures we need to simulate the bone...
Detecting phase synchronization by localized maps: Application to neural networks (2007)
Pereira, T., Baptista, M. S., Kurths, J.
We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the...
General Framework for phase synchronization through localized sets (2007)
Pereira, T., Baptista, M. S., Kurths, J.
We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in...
Onset of Phase Synchronization in Neurons Conneted via Chemical Synapses (2007)
Pereira, T., Baptista, M. S., Kurths, J., Reyes, M. B.
We study the onset of synchronous states in realistic chaotic neurons coupled by mutually inhibitory chemical synapses. For the realistic parameters, namely the synaptic strength and the intrinsic...
Network Mutual Information and Synchronization under Time Transformations (2007)
Pereira, T., Thiel, M., Baptista, M. S., Kurths, J.
We investigate the effect of general time transformations on the phase synchronization (PS) phenomenon and the mutual information rate (MIR) between pairs of nodes in dynamical networks. We...
Global Bifurcation Destroying The Experimental Torus T2 (2007)
Pereira, T., Baptista, M. S., Reyes, M. B., Caldas, I. L., Sartorelli, J. C., Kurths, J.
We show experimentally the scenario of a two-frequency torus $T^2$ breakdown, in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit, creating a...
Autonomic control in patients experiencing atrial fibrillation after cardiac surgery. (2007)
Bauernschmitt, R., Malberg, H., Wessel, N., Brockmann, G., Wildhirt, S.M., Kopp, B., ...
Pacing and Clinical Electrophysiology, 30(2007) S.77-84
Kopplungsanalyse der Herzraten- und Blutdruckvariabilität bei Schwangeren mit Präeklampsie. (2007)
Suhrbier, A., Malberg, H., Kurths, J., Riedl, M., Bretthauer, G., Faber, R., ...
BMT 2007 : 41.Jahrestagung der Deutschen Gesellschaft für Biomedizinische Technik (DGBMT), Aachen, 26.-29.September 2007
Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators (2006)
Gandhimathi, V. M., Rajasekar, S., Kurths, J.
We study the overdamped version of two coupled anharmonic oscillators under the influence of both low- and high-frequency forces respectively and a Gaussian noise term added to one of the two state...
Phase synchronization in time-delay systems (2006)
Senthilkumar, D. V., Lakshmanan, M., Kurths, J.
Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent...
A conceptual ENSO model under realistic noise forcing (2006)
J. Saynisch, J. Kurths, D. Maraun
We investigated the influence of atmospheric noise on the generation of interannual El Niño variability. Therefore, we perturbed a conceptual ENSO delay model with surrogate windstress data...
Noise-induced inhibitory suppression of malfunction neural oscillators (2006)
Tessone, C.J., Ullner, E., Zaikin, A.A., Kurths, J., Toral, R.
Segmentation of bone CT images and assessment of bone structure using measures of complexity (2006)
Saparin, P., Thomsen, J. S., Kurths, J., Beller, G., Gowin, W.
A conceptual ENSO model under realistic noise forcing (2006)
Saynisch, J., Kurths, J., Maraun, D.
We investigated the influence of atmospheric noise on the generation of interannual El Niño variability. Therefore, we perturbed a conceptual ENSO delay model with surrogate windstress data...
A conceptual ENSO model under realistic noise forcing (2006)
Saynisch, J., Kurths, J., Maraun, D.
We investigated the influence of atmospheric noise on the generation of interannual El Niño variability. Therefore, we perturbed a conceptual ENSO delay model with surrogate windstress data...
Nonlinear additive autoregressive model-based analysis of short-term heart rate variability. (2006)
Wessel, N., Malberg, H., Bauernschmitt, R., Schirdewan, A., Kurths, J.
Medical and Biological Engineering and Computing, 44(2006) S.321-30
Noise-induced inhibitory suppression of malfunction neural oscillators (2005)
Tessone, C. J., Ullner, E., Zaikin, A. A., Kurths, J., Toral, R.
Motivated by the aim to find new medical strategies to suppress undesirable neural synchronization we study the control of oscillations in a system of inhibitory coupled noisy oscillators. Using...
8th Experimental Chaos Conference (2005)
Boccaletti, S, Gluckman, B J, Kurths, J, Meucci, R, Oleg Yordanov, O, Pecora, L M
Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems (2005)
Baptista, M. S., Pereira, T., Sartorelli, J. C., Caldas, I. L., Kurths, J.
We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants...
Inferior Bounds for Phase Synchronization (2005)
Baptista, M. S., Pereira, T., Kurths, J.
An approach is presented for coupled chaotic systems, estimating an inferior bound value for the absolute phase difference, in order to say that phase synchronization is present. This approach shows...
Measuring Phase Synchronization of Superimposed Signals (2005)
Meinecke, F, Ziehe, A, Kurths, J, Müller, Klaus-Robert
Phase synchronization is an important phenomenon that occurs in a wide variety of complex oscillatory processes. Measuring phase synchronization can therefore help to gain fundamental insight into...
Measuring phase synchronization of superimposed signals (2005)
Meinecke, F.C., Ziehe, A., Kurths, J.
Phase synchronization is an important phenomenon that occurs in a wide variety of complex oscillatory processes. Measuring phase synchronization can therefore help to gain fundamental insight into...
Scale Invariant Fractal and Slow Dynamics in Nucleation and Growth Processes (2004)
We propose a stochastic counterpart of the classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to describe the nucleation-and-growth phenomena of a stable phase (S-phase). We report that for growth...
Nonlinear dimensionality reduction in climate data (2004)
A. J. Gámez, C. S. Zhou, A. Timmermann, J. Kurths
Linear methods of dimensionality reduction are useful tools for handling and interpreting high dimensional data. However, the cumulative variance explained by each of the subspaces in which the data...
Cross wavelet analysis: significance testing and pitfalls (2004)
In this paper, we present a detailed evaluation of cross wavelet analysis of bivariate time series. We develop a statistical test for zero wavelet coherency based on Monte Carlo simulations. If at...
Predicting thermal displacements in modular tolls systems (2004)
Wessel, N., Konvicka, J., Weidermann, F., Nestmann, S., Neugebauer, R., Schwarz, U., ...
Modeling thermal displacements in modular tool systems (2004)
Wessel, N., Aßmus, J., Schwarz, U., Kurths, J., Weidermann, F., Konvicka, J., ...
There is an important interest in compensating thermally induced errors of modular tool systems to improve the manufacturing accuracy. In this paper, we test the hypothesis whether we can predict...
Frecuency entrainment of nonautonomous chaotic oscillators (2004)
Bove, I., Boccaletti, S., Bragard, J., Kurths, J., Mancini, H.
We give evidence of frequency entrainment of dominant peaks in the chaotic spectra of two coupled chaotic nonautonomous oscillators. At variance with the autonomous case, the phenomenon is here...
Cross wavelet analysis: significance testing and pitfalls (2004)
In this paper, we present a detailed evaluation of cross wavelet analysis of bivariate time series. We develop a statistical test for zero wavelet coherency based on Monte Carlo simulations. If at...
Nonlinear dimensionality reduction in climate data (2004)
Gámez, A. J., Zhou, C. S., Timmermann, A., Kurths, J.
Linear methods of dimensionality reduction are useful tools for handling and interpreting high dimensional data. However, the cumulative variance explained by each of the subspaces in which the data...
Cross wavelet analysis: significance testing and pitfalls (2004)
In this paper, we present a detailed evaluation of cross wavelet analysis of bivariate time series. We develop a statistical test for zero wavelet coherency based on Monte Carlo simulations. If at...
Nonlinear dimensionality reduction in climate data (2004)
Gámez, A. J., Zhou, C. S., Timmermann, A., Kurths, J.
Linear methods of dimensionality reduction are useful tools for handling and interpreting high dimensional data. However, the cumulative variance explained by each of the subspaces in which the data...
Nonlinear dimensionality reduction in climate data (2004)
A. J. Gámez, C. S. Zhou, A. Timmermann, J. Kurths
Part of Special Issue “Nonlinear analysis of multivariate geoscientific data – advanced methods, theory and application” Abstract. Linear methods of dimensionality reduction are useful tools...
Modeling Bone Resorption in 2D CT and 3D µCT Images (2004)
A. Zaikin, P. Saparin, J. Kurths, S. Prohaska, W. Gowin
We study several algorithms to simulate bone mass loss in 2-dimensional and 3-dimensional computed tomography bone images. The aim is to extrapolate and predict the bone loss, to provide test objects...
Symbolic dynamics for the prediction of ventricular tachyarrhythmias. (2004)
Wessel, N., Schirdewan, A., Bauernschmitt, R., Malberg, H., Kurths, J.
28.Wissenschaftlicher Kongress der Deutschen Liga zur Bekämpfung des hohen Blutdruckes und der Deutschen Hypertonie Gesellschaft, Hannover, 24.-27.November 2004
Validity of numerical trajectories in the synchronization transition of complex systems (2003)
Viana, R. L., Grebogi, C., Lopes, S. R., Batista, A. M., Kurths, J.
We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {\it via} unstable dimension variability in complex systems. In the neighborhood of the...
Zhang, Hong, Hu, Bambi, Hu, Gang, Ouyang, Qi, Kurths, J.
Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. A new approach is proposed for the control purpose. In the presence of a small spiral wave seed initiation,...
Marwan, N., Trauth, M. H., Vuille, M., Kurths, J.
Higher variability in rainfall and river discharge could be of major importance in landslide generation in the north-western Argentine Andes. Annual layered (varved) deposits of a landslide dammed...
Analytical description of Recurrence Plots of white noise and chaotic processes (2003)
Thiel, M., Romano, M. C., Kurths, J.
We present an analytical description of the distribution of diagonal lines in Recurrence Plots (RPs) for white noise and chaotic systems, and find that the latter one is linked to the correlation...
Interpreting correlations in metabolomic networks (2003)
Steuer, R., Kurths, J., Fiehn, O., Weckwerth, W.
Correlations, as observed between the concentrations of metabolites in a biological sample, may be used to gain additional information about the physiological state of a given tissue. in this...
Observing and interpreting correlations in metabolomic networks (2003)
Steuer, R., Kurths, J., Fiehn, O., Weckwerth, W.
Motivation: Metabolite profiling aims at an unbiased identification and quantification of all the metabolites present in a biological sample. Based on their pair-wise correlations, the data obtained...
Observing and interpreting correlations in metabolomic networks (2003)
Steuer, R., Kurths, J., Fiehn, O., Weckwerth, W.
Motivation: Metabolite profiling aims at an unbiased identification and quantification of all the metabolites present in a biological sample. Based on their pair-wise correlations, the data obtained...
Classifying simulated and physiological heart rate variability signals. (2003)
Wessel, N., Malberg, H., Meyerfeldt, U., Schirdewan, A., Kurths, J.
Computers in Cardiology Conf., Memphis, Tenn., September 22-25, 2002
An analytic model for a cooperative ballistic deposition in one dimension (2002)
Hassan, M. K., Wessel, N., Kurths, J.
We formulate a model for a cooperative ballistic deposition (CBD) process whereby the incoming particles are correlated with the ones already adsorbed via attractive force. The strength of the...
Jamming and asymptotic behavior in competitive random parking of bidisperse cars (2002)
Hassan, M. K., Schmidt, J., Blasius, B., Kurths, J.
We propose a generalized car parking problem where either a car of size $\sigma$ or of size $m\sigma$ ($m>1$) is sequentially parked on a line with probability $q$ and $(1-q)$, respectively. The free...
Nonlinear analysis of bivariate data with cross recurrence plots (2002)
We use the extension of the method of recurrence plots to cross recurrence plots (CRP) which enables a nonlinear analysis of bivariate data. To quantify CRPs, we develop further three measures of...
Marwan, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., Kurths, J.
The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often...
Can randomness alone tune the fractal dimension? (2002)
We present a generalized stochastic Cantor set by means of a simple {\it cut and delete process} and discuss the self-similar properties of the arising geometric structure. To increase the...
The mutual information: Detecting and evaluating dependencies between variables (2002)
Steuer, R., Kurths, J., Daub, C. O., Weise, J., Selbig, J.
Motivation: Clustering co-expressed genes usually requires the definition of `distance' or `similarity' between measured datasets, the most common choices being Pearson correlation or Euclidean...
Collective Phase Locked States in a Chain of Coupled Chaotic Oscillators (2002)
Valladares, D.L., Boccaletti, S., Feudel, F., Kurths, J.
We discuss the emergence of a collective phase locked state in an open chain of N unidirectionally weakly coupled nonidentical chaotic oscillators. Such a regime is characterized by a Lyapunov...
Pages S231–S240 The mutual information: Detecting and evaluating (2002)
R. Steuer, J. Kurths, C. O. Daub, J. Weise, J. Selbig
Motivation: Clustering co-expressed genes usually requires the definition of ‘distance ’ or ‘similarity ’ between measured datasets, the most common choices being Pearson correlation or...
modeling and structural measures of complexity (2002)
A. Zaikin, P. Saparin, S. Prohaska, J. Kurths, W. Gowin
We test sensitivity and powerfulness of recently suggested Structure Measures of Complexity (SMC) with simulated test objects, represented by simple structures or modelled on the basis of a real bone...
The mutual information: Detecting and evaluating dependencies between variables (2002)
Steuer, R., Kurths, J., Daub, C. O., Weise, J., Selbig, J.
Motivation: Clustering co-expressed genes usually requires the definition of `distance' or `similarity' between measured datasets, the most common choices being Pearson correlation or Euclidean...
Model based analysis of the heart rate and blood pressure relationship. (2002)
Wessel, N., Malberg, H., Meyerfeldt, U., Schirdewan, A., Kurths, J.
Beiträge zur 36.Jahrestagung der Deutschen Gesellschaft für Biomedizinische Technik (DGBMT) im VDE, Karlsruhe, 25.-27.September 2002
Jamming coverage in competitive random sequential adsorption of binary mixture (2001)
Hassan, M. K., Schmidt, J., Balsius, B., Kurths, J.
We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability $q$. The free parameter $q$ interpolates between the...
Can Smoluchowski equation account for gelation transition? (2001)
We revisit the scaling theory of the Smoluchowski equation with special emphasis on the dimensional analysis to derive the scaling ansatz and to give an insightful foundation to it. It has long been...
Transition from random to ordered fractals in fragmentation of particles in an open system (2001)
We consider the fragmentation process with mass loss and discuss self-similar properties of the arising structure both in time and space, focusing on dimensional analysis. This exhibits a spectrum of...
Prediction of thermal displacements in Finite Element tool models (2001)
Weidermann, F., Konvicka, J., Nestmann, S., Neugebauer, R., Aßmus, J., Wessel, N., ...
Self-organization of spatio-temporal earthquake clusters (2000)
S. Hainzl, G. Zöller, J. Kurths
Cellular automaton versions of the Burridge-Knopoff model have been shown to reproduce the power law distribution of event sizes; that is, the Gutenberg-Richter law. However, they have failed to...
Linear and nonlinear time series analysis of the black hole candidate Cygnus X-1 (2000)
Timmer, J., Schwarz, U., Voss, H.U., Wardinski, I., Belloni, T., Hasinger, G., ...
Synchronization of Chaotic Structurally Nonequivalent Systems (2000)
Boccaletti, S., Valladares, D.L., Kurths, J., Maza, D., Mancini, H.
Synchronization features are explored for a pair of chaotic high-dimensional bidirectionally coupled structurally nonequivalent systems. We find two regimes of synchronization in dependence on the...
Self-organization of spatio-temporal earthquake clusters (2000)
Hainzl, S., Zöller, G., Kurths, J.
Cellular automaton versions of the Burridge-Knopoff model have been shown to reproduce the power law distribution of event sizes; that is, the Gutenberg-Richter law. However, they have failed to...
Self-organization of spatio-temporal earthquake clusters (2000)
Hainzl, S., Zöller, G., Kurths, J.
Cellular automaton versions of the Burridge-Knopoff model have been shown to reproduce the power law distribution of event sizes; that is, the Gutenberg-Richter law. However, they have failed to...
Phase Synchronization of Regular and Chaotic oscillators (1999)
A. S. Pikovsky, M. G. Rosenblum, M. A. Zaks, J. Kurths
this article we concentrate on the recently described effect of phase synchronization of chaotic systems, which generalizes the classical notion of phase locking. Indeed, for periodic oscillators...
Brilliantov, N. V., Andrienko, Yu. A., Krapivsky, P. L., Kurths, J.
We investigate the process of random sequential adsorption of polydisperse particles whose size distribution exhibits a power-law dependence in the small size limit, $P(R)\sim R^{\alpha-1}$. We...
Testing for unstable periodic orbits to characterize spatiotemporal dynamics (1998)
G. Zoller, R. Engbert, S. Hainzl, J. Kurths
We present a new technique for the analysis of spatiotemporal data. In our approach the concept of intermediate-scale determinism is combined with a test on unstable periodic orbits. A comparison of...
Characteristic Spatial Scales in Earthquake Data (1997)
Zoeller, G., Engbert, R., Hainzl, S., Kurths, J.
We present a new technique in order to quantify the dynamics of spatially extended systems. Using a test on the existence of unstable periodic orbits, we identify intermediate spatial scales, wherein...
Fractal formation and ordering in random sequential adsorption (1996)
Brilliantov, N. V., Andrienko, Yu. A., Krapivsky, P. L., Kurths, J.
We reveal the fractal nature of patterns arising in random sequential adsorption of particles with continuum power-law size distribution, $P(R)\sim R^{\alpha-1}$, $R \le R_{\rm max}$. We find that...
Analysis of Solar Spike Events by Means of Symbolic Dynamics Methods (1996)
U. Schwarz, A.O. Benz, J. Kurths, A. Witt
. Using quantities of symbolic dynamics, such as mutual information, Shannon information and algorithmic complexity, we have searched for interrelations of spikes emitted simultaneously at different...
Synchronization in a population of globally coupled chaotic oscillators (1996)
A. S. Pikovsky, M. G. Rosenblum, J. Kurths
PACS. 05.45+b – Theory and models of chaotic systems. PACS. 64.60Cn – Order-disorder and statistical mechanics of model systems. Abstract. – We demonstrate synchronization transition in a large...
Voss, A., Kurths, J., Kleiner, H.J., Witt, A., Wessel, N., Saparin, P., ...
Objectives: This study introduces new methods of non-linear dynamics (NLD) and compares these with traditional methods of heart rate variability (HRV) and high resolution ECG (HRECG) analysis in...
Nonlinear Phenomena in polyrhythmic hand movements (1995)
Engbert, R., Scheffczyk, C., Kurths, J., Krampe, R. T., Kliegl, R.
Analysis of heart rate variability versus high resolution ECG (1995)
Voss, A., Kurths, J., Kleiner, H.J., Witt, A., Dietz, R., Fiehring, H., ...
Quantitative Analysis of Heart Rate Variability (1995)
J. Kurths, A. Voss, A. Witt, P. Saparin, H. J. Kleiner, N. Wessel
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...
Measures of Complexity in Signal Analysis (1995)
J. Kurths, U. Schwarz, A. Witt, R. Th. Krampe, M. Abel
Observational data of natural systems, as measured in astrophysical, geophysical or physiological experiments are typically quite different from those obtained in laboratories. Due to the...
Testing for nonlinearity in radiocarbon data (1994)
J. Kurths, U. Schwarz, C. P. Sonett, U. Parlitz
The radiocarbon record that has been extended from 7199 BC to 1891 AD is of fundamental importance to understand century-scale variations of solar activity. We have, therefore, studied how to extract...
Testing for nonlinearity in radiocarbon data (1994)
Kurths, J., Schwarz, U., Sonett, C. P., Parlitz, U.
The radiocarbon record that has been extended from 7199 BC to 1891 AD is of fundamental importance to understand century-scale variations of solar activity. We have, therefore, studied how to extract...
Testing for nonlinearity in radiocarbon data (1994)
Kurths, J., Schwarz, U., Sonett, C. P., Parlitz, U.
The radiocarbon record that has been extended from 7199 BC to 1891 AD is of fundamental importance to understand century-scale variations of solar activity. We have, therefore, studied how to extract...
On the validity of a model for the reversals of the Earth's magnetic field (1994)
A. Witt, J. Kurths, F. Krause, K. Fischer
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...
Reconstruction of eye movements during blinks
Baptista, M.S., Bohn, C., Kliegl, R., Engbert, R., Kurths, J.
Kurths, J., Maraun, D., Zhou, C. S., Zamora-Lopez, G., Zou, Y.
Over the last decade, we have witnessed the birth of a new movement of interest and research in the study of complex networks. These networks often have irregular structural properties, but also...