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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…
Vortex arrays and meso-scale turbulence of self-propelled particles
Robert Grossmann, Pawel Romanczuk, Markus Bär +1
Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled particle model with short-ranged alignment and anti-alignment at larger distances. It is…
Cluster dynamics and cluster size distributions in systems of self-propelled particles
Fernando Peruani, Lutz Schimansky-Geier, Markus Baer
Systems of self-propelled particles (SPP) interacting by a velocity alignment mechanism in the presence of noise exhibit a rich clustering dynamics. It can be argued that clusters…
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…