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 …

Large communities of biological oscillators show a prevalent tendency to self-organize in
time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that …

The brain has to analyze and respond to external events that can change rapidly from time
to time, suggesting that information processing by the brain may be essentially dynamic …

Prominent changes in neuronal dynamics have previously been attributed to a specific
switch in onset bifurcation, the Bogdanov-Takens (BT) point. This study unveils another …

Synchronization plays an important role in neural signal processing and transmission. Many
hypotheses have been proposed to explain the origin of neural synchronization. In recent …

We theoretically study the synchronization between collective oscillations exhibited by two
weakly interacting groups of nonidentical phase oscillators with internal and external global …

Most network models for neural behavior assume a predefined network topology and consist
of almost identical elements exhibiting little heterogeneity. In this paper, we propose a self …

Brain networks are characterized by flexible patterns of pairwise correlations and
information exchange between different brain regions. Such dynamic patterns are crucial for …

Winfree oscillators are phase oscillator models of neurons, characterized by their phase
response curve and pulsatile interaction function. We use the Ott/Antonsen ansatz to study …

We consider directed networks of Winfree oscillators with power law distributed in-and out-
degree distributions. Gaussian and power law distributed intrinsic frequencies are …