Papers

Aug
21
New preprint on robust adaptation by single-celled organisms to environmental changes

New preprint on robust adaptation by single-celled organisms to environmental changes

Single-celled organisms such as bacteria are able to tune enzyme levels that catalyze the reaction pathways by which they eventually
1 min read
Jun
14
Paper on well-posedness of neural fields with anisotropic diffusion

Paper on well-posedness of neural fields with anisotropic diffusion

A new paper by Amsterdam Dynamics member Daniele Avitabile, and collaborators Nikolai Chemetov and Pedro Lima studies well-posedness of solutions
1 min read
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