The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Complex phenomena in photonics, in particular, dynamical properties of semiconductor
lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long …

Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

We review chimera patterns, which consist of coexisting spatial domains of coherent
(synchronized) and incoherent (desynchronized) dynamics in networks of identical …

Spontaneous (or resting-state) brain activity has attracted a growing body of neuroimaging
research over the last decades. Whole-brain network models have proved helpful to …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Energy absorption and consumption are essential for the activity of single neurons and
neuronal networks. The synchronization mode transition and energy dependence in a delay …

Master-stability functions (MSFs) are fundamental to the study of synchronization in complex
dynamical systems. For example, for a coupled oscillator network, a necessary condition for …

Spatial coexistence of coherent and incoherent dynamics in network of coupled oscillators is
called a chimera state. We study such chimera states in a network of neurons without any …