Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Pattern Formation

DY 21.9: Talk

Wednesday, April 2, 2014, 17:15–17:30, HÜL 186

Roles of pattern competition in diversity-induced resonance — •Miriam Grace and Marc-Thorsten Hütt — Jacobs University Bremen, Bremen, Germany

The phenomenon of diversity-induced resonance, in which a system’s response is enhanced at intermediate parameter disorder, has been studied for several years in wide-ranging contexts. We previously used an event-based view to understand developmental paths to spatiotemporal patterns [1,2]. We here explore the mechanisms of diversity-induced resonance in FitzHugh-Nagumo lattices, analyzing the competitive interactions between spiral and target wave events subject to differing levels of diversity [3]. We use minimal-ingredient lattices to understand how the diversity parameters control aspects of these competition scenarios. This form of diversity-induced resonance arises from different types of pattern competition: frequency-based interactions of target and spiral waves, and competition determined by the properties of parameter distributions. The resonance responses of wave counts to diversity are statistically controlled by the number of oscillatory elements in the lattice, rather than by the frequency differences between target and spiral waves.

1. Geberth, D. and Hütt, M.-Th (2009) PloS Comput. Biol. 5, doi: 10.1371/journal.pcbi.1000422

2. Grace, M. and Hütt, M.-Th. (2013). J. R. Soc. Interface 10, doi: 10.1098/rsif.2012.1016.

3. Grace, M. and Hütt, M.-Th (submitted). Eur. Phys. J. B.