Dresden 2017 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
SYCM: Symposium Physics of Collective Mobility
SYCM 1: Physics of Collective Mobility (Symposium SYCM, joint SOE / DY / BP / jDPG)
SYCM 1.3: Hauptvortrag
Mittwoch, 22. März 2017, 10:30–11:00, HSZ 02
Mobility and Self-Organization in Multi-Layer Networks: A Meta-Foodweb example — •Thilo Gross1, Andreas Brechtel2, Philipp Gramlich2, Daniel Ritterskamp1, and Barbara Drossel2 — 1Department of Engineering Mathematics, University of Bristol, Bristol, UK — 2Institut für Festkörperphysik, TU Darmstadt, Darmstadt, Germany
The emergence of structures and patterns from diffusive motion has long fascinated scientists. This phenomenon is best known from systems in continuous space. In this talk I will propose a general approach for the study of such phenomena in certain multi-layer networks.
I focus on the example of ecological meta-foodwebs, which describe the dispersal of animals across a fragmented landscape. Each individual undergoes diffusive motion on a network where the nodes are habitats and the links are routes of potential migration. Furthermore, the individuals are subject to predator-prey interactions with other individuals, described by a complex food web. The meta-foodweb thus constitutes a large multiplex network-on-network system.
To study the onset of self-organized pattern formation I consider the dynamical stability of steady states. By exploiting the structure of the system it is possible to separate the effects of the food-web and the geographical network and write a master stability function for the system. The result is a reduced system that bears a remarkable resemblance to pattern forming systems in continuous space, but has much richer behaviour.