Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 73: Poster: Networks, Chimera, Energy Systems

DY 73.2: Poster

Donnerstag, 15. März 2018, 15:30–18:00, Poster A

Pattern formation in games of winnerless competition — •Maximilian Voit and Hildegard Meyer-Ortmanns — Jacobs University, Bremen, Germany

We study models of winnerless competition in the framework of evolutionary game theory [1]. We choose the predation rules and rates in a way that yields a network of heteroclinic orbits for the local dynamics at each site of a spatial grid. Moreover we analyze the impact on spatial pattern formation for games with individual sites coupled via diffusion. We then discuss how to choose the rules on the microscopic level in view of desired domains, coalitions, or alliances on a coarse scale.

[1] D. Labavic and H. Meyer-Ortmanns, Rock-paper-scissors played within competing domains in predator-prey games, J. Stat. Mech., 113402~1-21 (2016).