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Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations
David Schueler, Sergio Alonso, Alessandro Torcini +1
Pattern formation often occurs in spatially extended physical, biological and chemical systems due to an instability of the homogeneous steady state. The type of the instability us…
Dynamics of reaction-diffusion patterns controlled by asymmetric nonlocal coupling as limiting case of differential advection
Julien Siebert, Sergio Alonso, Markus Bär +1
A one-component bistable reaction-diffusion system with asymmetric nonlocal coup ling is derived as limiting case of a two-component activator-inhibitor reaction -diffusion model w…
An active poroelastic model for mechanochemical patterns in protoplasmic droplets of Physarum polycephalum
Markus Radszuweit, Harald Engel, Markus Bär
Motivated by recent experimental studies, we derive and analyze a twodimensional model for the contraction patterns observed in protoplasmic droplets of Physarum polycephalum. The…
Propagation Of Waves In Periodic-Heterogeneous Bistable Systems
Jakob Löber, Markus Bär, Harald Engel
Wave propagation in one-dimensional heterogeneous bistable media is studied using the Schlögl model as a representative example. Starting from the analytically known traveling wave…
Pulse Bifurcations and Instabilities in an Excitable Medium: Computations in Finite Ring Domains
M. Or-Guil, J. Krishnan, I. G. Kevrekidis +1
We investigate the instabilities and bifurcations of traveling pulses in a model excitable medium; in particular we discuss three different scenarios for the loss of stability resp…