Recurrence networks - A novel paradigm for nonlinear time series analysis (2009)
Donner, Reik V., Zou, Y., Donges, Jonathan F., Marwan, Norbert, Kurths, Juergen
This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time...
Experimental study of imperfect phase synchronization in the forced Lorenz system (2007)
Pujol-Pere, Antonio, Calvo, Oscar, Matias, Manuel A., Kurths, Juergen
In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an...
Dynamics on Complex Networks and Applications (2006)
Motter, Adilson E., Matias, Manuel A., Kurths, Juergen, Ott, Edward
At the eight-year anniversary of Watts & Strogatz's work on the collective dynamics of small-world networks and seven years after Barabasi & Albert's discovery of scale-free networks, the area of...
Generalised Recurrence Plot Analysis for Spatial Data (2006)
Marwan, Norbert, Kurths, Juergen, Saparin, Peter
Recurrence plot based methods are highly efficient and widely accepted tools for the investigation of time series or one-dimensional data. We present an extension of the recurrence plots and their...
Coherence Resonance in an Autapse Neuron Model with Time Delay (2006)
Sethia, Gautam C, Kurths, Juergen, Sen, Abhijit
We study the noise activated dynamics of a model {\it autapse} neuron system that consists of a subcritical Hopf oscillator with a time delayed nonlinear feedback. The coherence of the noise driven...
Weighted networks are more synchronizable: how and why (2005)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities...
Network Synchronization, Diffusion, and the Paradox of Heterogeneity (2005)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but,...
Line Structures in Recurrence Plots (2004)
Marwan, Norbert, Kurths, Juergen
Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time...
Additive Nonparametric Reconstruction of Dynamical Systems from Time Series (2004)
Abel, Markus, Ahnert, Karsten, Kurths, Juergen, Mandelj, Simon
We present a nonparametric way to retrieve a system of differential equations in embedding space from a single time series. These equations can be treated with dynamical systems theory and allow for...
Enhancing complex-network synchronization (2004)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted...
Synchronization and oscillator death in oscillatory media with stirring (2003)
Neufeld, Zoltan, Kiss, Istvan Z., Zhou, Changsong, Kurths, Juergen
The effect of stirring in an inhomogeneous oscillatory medium is investigated. We show that the stirring rate can control the macroscopic behavior of the system producing collective oscillations...
Linear and nonlinear time series analysis of the black hole candidate Cygnus X-1 (1999)
Timmer, J., Schwarz, U., Voss, H. U., Wardinski, I., Belloni, T., Hasinger, G., ...
We analyze the variability in the X-ray lightcurves of the black hole candidate Cygnus X-1 by linear and nonlinear time series analysis methods. While a linear model describes the over-all second...
Optimal Length Transportation Hypothesis to Model Proteasome Product Size Distribution
Zaikin, Alexey, Kurths, Juergen
This paper discusses translocation features of the 20S proteasome in order to explain typical proteasome length distributions. We assume that the protein transport depends significantly on the...