Latest

Apr
29
Preprint on high-order phase reductions for delay-coupled networks

Preprint on high-order phase reductions for delay-coupled networks

Coupled oscillators with time-delayed network interactions are critical to understand synchronization phenomena in many physical systems. Phase reductions to finite-dimensional
1 min read
Dec
02
What are higher-order networks?

What are higher-order networks?

Networks - as mathematical representations of interconnected units -  are relevant in a wide range of real-wold systems, ranging from
1 min read
Oct
30
a solution with relative index 6

Calculating infinity minus infinity

Establishing stability and instability of stationary states is a basic requirement for understanding dynamics. Counting the dimension of the unstable
1 min read
Aug
11
Paper on synchronisation in hypernetworks accepted in SIAM Journal on Applied Mathematics

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
1 min read
Jun
16
New Preprint on Phase Reductions

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
Jun
16
New paper on calcium signalling in cardiac cells

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
1 min read
Jun
07
New preprint on Bifurcations of Riemann Ellipsoids

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
May
26
Two views of the verified solution to an initial value problem for the Swift-Hohenberg equation

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
1 min read
May
25
Paper on Projection methods for nonlocal equations

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.
Apr
01
Cover of SIAM Review article on leaky integrate-and-fire neurons

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