Networks - as mathematical representations of interconnected units -  are relevant in a wide range of real-wold systems, ranging from

Establishing stability and instability of stationary states is a basic requirement for understanding dynamics. Counting the dimension of the unstable

The paper "Hypernetworks: cluster synchronisation is a higher-order effect" (arXiv link) by Sören von der Gracht (University of

Phase reductions yield phase oscillators networks (with or without higher-order interactions) that describe the dynamics of nonlinear oscillator networks. The

Arrhythmia in heart cells is a potentially life-threatening condition. The contraction of cardiac cells is chiefly regulated by calcium, whose

In this arXiv preprint Fahimeh Mokhtari and co-workers from Universidad Pública de Navarra, give an account of the various changes

Simulating the dynamics of evolving patterns is at the core of scientific computing. But how reliable are such simulations? In

Daniele Avitabile's paper Projection methods for Neural Field equations has been published on SIAM Journal on Numerical Analysis.

The paper Bump attractors and waves in networks of leaky integrate-and-fire neurons by Daniele Avitabile and co-workers has appeared on

Nazanin Abedini and Svetlana Dubinkina have posted a new preprint entitled Convergence properties of a Gauss-Newton data-assimilation method.