Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

Synchronous rhythms represent a core mechanism for sculpting temporal coordination of
neural activity in the brain-wide network. This review focuses on oscillations in the cerebral …

This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

This technical note introduces a dynamic causal model (DCM) for resting state fMRI time
series based upon observed functional connectivity—as measured by the cross spectra …

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 …

Abstract The FitzHugh–Nagumo equation, originally conceived in neuroscience during the
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …

Understanding the fundamental mechanisms governing fluctuating oscillations in large-
scale cortical circuits is a crucial prelude to a proper knowledge of their role in both adaptive …

Insect asynchronous flight is one of the most prevalent forms of animal locomotion used by
more than 600,000 species. Despite profound insights into the motor patterns …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …