Movement, cognition and perception arise from the collective activity of neurons within
cortical circuits and across large-scale systems of the brain. While the causes of single …

The discovery of the spin-torque effect has made magnetic nanodevices realistic candidates
for active elements of memory devices and applications. Magnetoresistive effects allow the …

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 …

We survey recent analytical approaches to studying the spatiotemporal dynamics of
continuum neural fields. Neural fields model the large-scale dynamics of spatially structured …

Deep neural operators are recognized as an effective tool for learning solution operators of
complex partial differential equations (PDEs). As compared to laborious analytical and …

Conductance-based equations for electrically active cells form one of the most widely
studied mathematical frameworks in computational biology. This framework, as expressed …

There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

This is a book about 'Neurodynamics'. What we mean is that this is a book about how ideas
from dynamical systems theory have been developed and employed in recent years to give …

We study a stochastically forced predator-prey model with Allee effect. In the deterministic
case, this model exhibits non-trivial stable equilibrium or limit cycle corresponding to the …

We consider networks of quadratic integrate-and-fire neurons coupled via both chemical
synapses and gap junctions. After transforming to “theta neuron” coordinates, a network's …