TY  - JOUR
A1  - Feudel, Ulrike
A1  - Jansen, Wolfgang
A1  - Kurths, Jürgen
A1  - Schwarz, Udo
A1  - Voss, Henning U.
T1  - Solar variability : simple models and proxy data
Y1  - 1997
SN  - 4-274-90187-4
ER  - 
TY  - JOUR
A1  - Gowin, W.
A1  - Kurths, Jürgen
A1  - Saparin, Peter
A1  - Felsenberg, D.
T1  - Measures of complexity and processing of vertebral CT-images
Y1  - 1997
SN  - 0-7803-4262-3
ER  - 
TY  - JOUR
A1  - Osipov, Grigory V.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Zaks, Michael A.
A1  - Kurths, Jürgen
T1  - Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
N2  - The chaotically driven circle map is considered as the simplest model ofphase synchronization of a chaotic continuous-time oscillator by external periodic force. The phase dynamics is analyzed via phase-locking regions of the periodic cycles embedded in the strange attractor. It is shown that full synchronization, where all the periodic cycles are phase locked, disappears via the attractor-repeller collision. Beyond the transition an intermittent regime with exponentially rare phase slips, resulting from the trajectory's hits on an eyelet, is observed.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Coherence Resonance in a Noise-Driven Excitable System
N2  - We study the dynamics of the excitable Fitz Hugh-Nagumo system under external noisy driving. Noise activates the system producing a sequence of pulses. The coherence of these noise-induced oscillations is shown to be maximal for a certain noise amplitude. This new effect of coherence resonance is explained by different noise dependencies of the activation and the excursion times. A simple one-dimensional model based on the Langevin dynamics is proposed for the quantitative description of this phenomenon.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Coherence resonance in a noise-driven excitable system
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
A1  - Osipov, Grigory V.
A1  - Kurths, Jürgen
T1  - Phase synchronization effects in a lattice of nonidentical Rössler oscillators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Phase synchronization of chaotic oscillators by external driving
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - From Phase to Lag Synchronization in Coupled Chaotic Oscillators
N2  - We study synchronization transitions in a system of two coupled self-sustained chaotic oscillators. We demonstrate that with the increase of coupling strength the system first undergoes the transition to phase synchronization. With a further increase of coupling, a new synchronous regime is observed, where the states of two oscillators are nearly identical, but one system lags in time to the other. We describe thisregime as a state with correlated amplitudes and a constant phase shift. These transitions are traced in the Lyapunov spectrum.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Phase synchronization in noisy and chaotic oscillators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Phase synchronization in driven and coupled chaotic oscillators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Effect of phase synchronization in driven chaotic oscillators
Y1  - 1997
ER  - 
TY  - BOOK
A1  - Rosenblum, Michael
A1  - Schäfer, Carsten
A1  - Abel, Hans-Henning
A1  - Kurths, Jürgen
T1  - Interrelationship of Parasympathetic Innervation of the Sinoatrial Node and the Atrioventricular Node of Human Heart
Y1  - 1997
SN  - 1120-1797
ER  - 
TY  - JOUR
A1  - Ruzick, Oliver
A1  - Scheffczyk, Christian
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Dynamics of chaos-order interface in coupled map lattices
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Saparin, Peter
A1  - Kurths, Jürgen
A1  - Gowin, P.
A1  - Felsenberg, D.
T1  - Die quantitative Beurteilung trabeculärer Knochenstrukturen der Lendenwirbelkörper durch Meßmethoden der nicht-linearen Dynamik
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Scheffczyk, Christian
A1  - Krampe, Ralf-Thomas
A1  - Engbert, Ralf
A1  - Rosenblum, Michael
A1  - Kurths, Jürgen
A1  - Kliegl, Reinhold
T1  - Tempo-induced transitions in polyrhythmic hand movements
N2  - 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 qualitative transitions induced by experimental manipulation of the tempo. A nonlinear model with delayed feedback control is proposed, which accounts for these dynamical transitions in terms of bifurcations resulting from variation of the external control parameter. Furthermore, it is shown that transitions can also be observed due to fluctuations in the timing control level. We conclude that the complexity of coordinated bimanual movements results from interactions between nonlinear control mechanisms with delayed feedback and stochastic timing components.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Schiek, Michael
A1  - Scheffczyk, Christian
A1  - Engbert, Ralf
A1  - Kurths, Jürgen
A1  - Krampe, Ralf-Thomas
A1  - Kliegl, Reinhold
A1  - Drepper, Friedhelm R.
T1  - Symbolic dynamics of physiological synchronisation : examples from bimanual movements and cardiorespiratory interaction
N2  - Key words: Nonlinear time series analysis, symbolic dynamics, phase transitions, physiological data, biological synchronization, production of polyrhythms, cardiorespiratory interaction, variation of control parameter
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Spahn, Frank
A1  - Katzorke, Ines
A1  - Petzschmann, Olaf
A1  - Schwarz, Udo
A1  - Kurths, Jürgen
T1  - Cluster instabiliy of granular assemblies
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Spahn, Frank
A1  - Schwarz, Udo
A1  - Kurths, Jürgen
T1  - Clustering of granular assemblies with temperature dependent restitution under Keplerian differential rotation
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Voss, Henning U.
A1  - Kurths, Jürgen
T1  - Reconstruction of nonlinear time delay models from data by the use of optimal transformations
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Wessel, Niels
A1  - Kleiner, H. J.
A1  - Voss, Andreas
A1  - Kurths, Jürgen
A1  - Dietz, R.
T1  - Nonlinear dynamics in cardiovasscular diseases
Y1  - 1997
ER  -