Display Abstract

Title The Turing bifurcation in network systems: Snaking branches of localized patterns

Name Matthias Wolfrum
Country Germany
Email wolfrum@wias-berlin.de
Co-Author(s) T. Wagenknecht, N. McCullen
Submit Time 2014-02-28 09:49:59
Session
Special Session 122: Dynamics of networks in biology and chemistry
Contents
We study the emergence of patterns in a diffusively coupled network that undergoes a Turing instability. It turns out that on large irregular networks there are fundamental differences to the case of continuous media. In particular, one can observe a huge variety of localized patterns, which are organized as snaking branches carrying an increasing number of differentiated nodes. However, in contrast to the classical snaking scenario, the irregular network structure leads to a complex and irregular structure of the snaking branches.