Synchronization - A Universal Concept in Nonlinear Sciences
This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Recurrence plots for the analysis of complex systems
Synchronization in complex networks
Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography
It is revealed that the temporal evolution of the peripheral tremor rhythms directly reflects the time course of the synchronization of abnormal activity between cortical motor areas.
Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics
- Wenwu Yu, Guanrong Chen, M. Cao, J. Kurths
- MathematicsIEEE Transactions on Systems, Man, and…
- 1 June 2010
To describe the system's ability for reaching consensus, a new concept about the generalized algebraic connectivity is defined for strongly connected networks and then extended to the strongly connected components of the directed network containing a spanning tree.
Cross wavelet analysis: significance testing and pitfalls
It is shown that coherency between ENSO and NAO is an artefact for most of the time from 1900 to 1995, however, during a distinct period from around 1920 to 1940, significant co herency between the two phenomena occurs.
Recurrence-plot-based measures of complexity and their application to heart-rate-variability data.
- N. Marwan, N. Wessel, U. Meyerfeldt, A. Schirdewan, J. Kurths
- Computer SciencePhysical review. E, Statistical, nonlinear, and…
- 29 January 2002
Applying measures of complexity based on vertical structures in recurrence plots and applying them to the logistic map as well as to heart-rate-variability data is able to detect and quantify the laminar phases before a life-threatening cardiac arrhythmia occurs thereby facilitating a prediction of such an event.
The mutual information: Detecting and evaluating dependencies between variables
- Ralph E. Steuer, J. Kurths, C. Daub, J. Weise, J. Selbig
- Computer ScienceEuropean Conference on Computational Biology
- 1 October 2002
The findings show that the algorithms used so far may be quite substantially improved upon when dealing with small datasets, finite sample effects and other sources of potentially misleading results have to be taken into account.
Coherence Resonance in a Noise-Driven Excitable System
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…