What are higher-order networks?
Networks - as mathematical representations of interconnected units -
are relevant in a wide range of real-wold systems, ranging from
Calculating infinity minus infinity
Establishing stability and instability of stationary states is a basic
requirement for understanding dynamics. Counting the dimension of the unstable
Paper on synchronisation in hypernetworks accepted in SIAM Journal on Applied Mathematics
The paper "Hypernetworks: cluster synchronisation is a higher-order effect" (arXiv link) by Sören von der Gracht (University of
New Preprint on Phase Reductions
Phase reductions yield phase oscillators networks (with or without higher-order interactions) that describe the dynamics of nonlinear oscillator networks. The
New paper on calcium signalling in cardiac cells
Arrhythmia in heart cells is a potentially life-threatening condition. The contraction of cardiac cells is chiefly regulated by calcium, whose
New preprint on Bifurcations of Riemann Ellipsoids
In this arXiv preprint Fahimeh Mokhtari and co-workers from Universidad Pública de Navarra, give an account of the various changes
Rigorous integration of parabolic PDEs
Simulating the dynamics of evolving patterns is at the core of scientific computing. But how reliable are such simulations? In
Paper on Projection methods for nonlocal equations
Daniele Avitabile's paper Projection methods for Neural Field equations has been published on SIAM Journal on Numerical Analysis.
Cover of SIAM Review article on leaky integrate-and-fire neurons
The paper Bump attractors and waves in networks of leaky integrate-and-fire neurons by Daniele Avitabile and co-workers has appeared on
New preprint by Nazanin Abedini and Svetlana Dubinkina
Nazanin Abedini and Svetlana Dubinkina have posted a new preprint entitled Convergence properties of a Gauss-Newton data-assimilation method.