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 …

The importance of understanding the nonlinear dynamics of neural systems, and the relation
to cognitive systems more generally, has been recognised for a long time. Approaches that …

The science of genetics is undergoing a paradigm shift. Recent discoveries, including the
activity of retrotransposons, the extent of copy number variations, somatic and chromosomal …

This commentary argues that the anomalies suffered by the population behavior genetics
paradigm are more widespread than suggested by Charney, including many made in the …

In this work we analyze electro-corticography (ECoG) recordings in human subjects during
induction of anesthesia with propofol. We hypothesize that the decrease in responsiveness …

Heteroclinic networks are a mathematical concept in dynamic systems theory that is suited to
describe metastable states and switching events in brain dynamics. The framework is …

Robust heteroclinic networks are invariant sets that can appear as attractors in symmetrically
coupled or otherwise constrained dynamical systems. These networks may have a …

Healthy brain functioning depends on balancing stable integration between brain areas for
effective coordinated functioning, with bursts of desynchronisation to allow subsystems to …

A coupled cell network describes interacting (coupled) individual systems (cells). As in
networks from real applications, coupled cell networks can represent inhomogeneous …

It is a great challenge to detect singular cycles and chaos in dynamical systems with multiple
discontinuous boundaries. This paper takes the challenge to investigate the coexistence of …