TY - JOUR A1 - Zaikin, Alexei A. A1 - Rosenblum, Michael A1 - Scheffczyk, Christian A1 - Engbert, Ralf A1 - Krampe, Ralf-Thomas A1 - Kurths, Jürgen T1 - Modeling qualitative changes in bimanual movements Y1 - 1997 ER - TY - JOUR A1 - Hnatkova, Katarina A1 - Vessel, N. A1 - Voss, Andreas A1 - Kurths, Jürgen A1 - Sander, A. A1 - Schirdewan, Alexander A1 - Camm, A. J. A1 - Malik, Marek T1 - Multiparametric analysis of heart rate variability used for risk stratification among survivors of acute myocardial infarction Y1 - 1998 SN - 0895-2795 ER - TY - JOUR A1 - Kurths, Jürgen A1 - Kliem, Bernhard A1 - Schwarz, Udo A1 - Krüger, Albrecht A1 - Urpo, S. T1 - Multiresolution analysis of solar mm-wave bursts Y1 - 1998 ER - TY - JOUR A1 - Romano, Maria Carmen A1 - Thiel, Marco A1 - Kurths, Jürgen A1 - von Bloh, Werner T1 - Multivariate recurrence plots N2 - We propose a new approach to calculate recurrence plots of multivariate time series, based on joint recurrences in phase space. This new method allows to estimate dynamical invariants of the whole system, like the joint Renyi entropy of second order. We use this entropy measure to quantitatively study in detail the phase synchronization of two bidirectionally coupled chaotic systems and identify different types of transitions to chaotic phase synchronization in dependence on the coupling strength and the frequency mismatch. By means of this analysis we find several new phenomena, such a chaos-period-chaos transition to phase synchronization for rather large coupling strengths. (C) 2004 Elsevier B.V. All rights reserved Y1 - 2004 SN - 0375-9601 ER - TY - JOUR A1 - Motter, Adilson E. A1 - Zhou, Changsong A1 - Kurths, Jürgen T1 - Network synchronization, diffusion, and the paradox of heterogeneity N2 - Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in networks of oscillators coupled symmetrically with uniform coupling strength. Here we offer a solution to this apparent paradox. Our analysis is partially based on the identification of a diffusive process underlying the communication between oscillators and reveals a striking relation between this process and the condition for the linear stability of the synchronized states. We show that, for a given degree distribution, the maximum synchronizability is achieved when the network of couplings is weighted and directed and the overall cost involved in the couplings is minimum. This enhanced synchronizability is solely determined by the mean degree and does not depend on the degree distribution and system size. Numerical verification of the main results is provided for representative classes of small-world and scale-free networks Y1 - 2005 SN - 1063-651X ER - TY - JOUR A1 - Kurths, Jürgen A1 - Seehafer, Norbert A1 - Spahn, Frank T1 - Nichtlineare Dynamik in der Physik : Forschungsbeispiele und Forschungstrends Y1 - 1999 UR - http://www.phil.uni-augsburg.de/dgksnd SN - 3-540-65329- 5 ER - TY - JOUR A1 - Zaikin, Alexei A. A1 - García-Ojalvo, Jordi A1 - Schimansky-Geier, Lutz A1 - Kurths, Jürgen T1 - Noise induced propagation in monostable media N2 - We show that external fluctuations are able to induce propagation of harmonic signals through monostable media. This property is based on the phenomenon of doubly stochastic resonance, where the joint action of multiplicative noise and spatial coupling induces bistability in an otherwise monostable extended medium, and additive noise resonantly enhances the response of the system to a harmonic forcing. Under these conditions, propagation of the harmonic signal through the unforced medium i observed for optimal intensities of the two noises. This noise-induced propagation is studied and quantified in a simple model of coupled nonlinear electronic circuits. Y1 - 2002 UR - http://link.aps.org/abstract/PRL/v88/e010601 ER - TY - JOUR A1 - Zhou, Changsong A1 - Kurths, Jürgen A1 - Kiss, Istvan Z. A1 - Hudson, J. L. T1 - Noise-enhanced phase synchronization of chaotic oscillators Y1 - 2002 ER - TY - JOUR A1 - Baltanás, J. P. A1 - Zaikin, Alexei A. A1 - Feudel, Fred A1 - Kurths, Jürgen A1 - Sanjuan, Miguel Angel Fernández T1 - Noise-induced effects in tracer dynamics Y1 - 2002 ER - TY - JOUR A1 - Zhou, Changsong A1 - Kurths, Jürgen T1 - Noise-induced phase synchronization and synchronization transitions in chaotic oscillators Y1 - 2002 ER -