It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Oscillations are a prevalent feature of brain recordings. They are believed to play key roles
in neural communication and computation. Current analysis methods for studying neural …

Perception, cognition and behavior rely on flexible communication between microcircuits in
distinct cortical regions. The mechanisms underlying rapid information rerouting between …

The influence of bounded noise and time delay on the sub–threshold signal transmission in
FitzHugh–Nagumo neuronal networks is studied in this paper. It is found that the signal …

Clocks tick, bridges and skyscrapers vibrate, neuronal networks oscillate. Are neuronal
oscillations an inevitable by-product, similar to bridge vibrations, or an essential part of the …

In order to model neuronal behavior or to interpret the results of modeling studies,
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …

The central problem for cognitive neuroscience is to describe how cognitive processes arise
from brain processes. This review summarizes the recent evidence that synchronous neural …

Rhythmic movements are produced by central pattern-generating networks whose output is
shaped by sensory and neuromodulatory inputs to allow the animal to adapt its movements …

A central focus of postgenomic research will be to understand how cellular phenomena
arise from the connectivity of genes and proteins. This connectivity generates molecular …

We describe a simple yet general method to analyze networks of coupled identical nonlinear
oscillators and study applications to fast synchronization, locomotion, and schooling …