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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. Expand
Recurrence plots for the analysis of complex systems
The aim of this work is to provide the readers with the know how for the application of recurrence plot based methods in their own field of research, and detail the analysis of data and indicate possible difficulties and pitfalls. Expand
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. Expand
Synchronization in complex networks
The advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology are reported and the new emergent features coming out from the interplay between the structure and the function of the underlying pattern of connections are overviewed. Expand
Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics
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. Expand
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. Expand
The mutual information: Detecting and evaluating dependencies between variables
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. Expand
Recurrence-plot-based measures of complexity and their application to heart-rate-variability data.
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. Expand
The synchronization of chaotic systems
Abstract Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either equivalent or nonequivalent) adjust a given property of their motion to a common behavior due to aExpand
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-inducedExpand