Synchronization in complex networks (2008)
Arenas, Alex, Diaz-Guilera, Albert, Kurths, Jurgen, Moreno, Yamir, Zhou, Changsong
Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts...
Sebastian Hainzl, Gert Zoller, Jurgen Kurths, Jochen Zschau
quiescence as an indicator for large earthquakes
Universality in the synchronization of weighted random networks (2006)
Zhou, Changsong, Motter, Adilson E., Kurths, Jurgen
Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex...
Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks (2006)
Ivanchenko, Mikhail V., Osipov, Grigory V., Shalfeev, Vladimir D., Kurths, Jurgen
We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at...
Decaying of Phase Synchronization - A Physiological Tool (2004)
Gozolchiani, Avi, Moshel, Shay, Hausdorff, Jeffrey M., Simon, Ely, Kurths, Jurgen, Havlin, Shlomo
We describe the effects of the asymmetry of cycles and non-stationarity in time series on the phase synchronization method. We develop a modified method that overcomes these effects and apply this...
Gert Zoller, Sebastian Hainzl, Jurgen Kurths
We test the critical point concept for earthquakes in terms of the spatial correlation length. A system near a critical point is associated with a diverging correlation length following a power law...
Dynamics of chaos-order interface in coupled map lattices (1997)
Oliver Rudzick, Arkady Pikovsky, Christian Scheffczyk, Jurgen Kurths
We study a coupled map lattice model with two states: a simple fixed point and spatio-temporal chaos. Preparing properly initial conditions, we investigate the dynamics of the interface between order...
Singular continuous spectra in dissipative dynamical systems, Phys (1995)
Arkady S. Pikovsky, Michael A. Zaks, Ulrike Feudel, Jurgen Kurths
We demonstrate the occurrence of regimes with singular continuous (fractal) Fourier spectra in autonomous dissipative dynamical systems. The particular example is an ODE system at the accumulation...