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SIAMADS
2010
105views more  SIAMADS 2010»
13 years 2 months ago
Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
We present a weakly nonlinear analysis of our recently developed model for the formation of crime patterns. Using a perturbative approach, we find amplitude equations that govern t...
Martin B. Short, Andrea L. Bertozzi, P. J. Brantin...
SIAMADS
2010
97views more  SIAMADS 2010»
13 years 2 months ago
Localized States in a Model of Pattern Formation in a Vertically Vibrated Layer
Abstract. We consider a novel asymptotic limit of model equations proposed to describe the formation of localized states in a vertically vibrated layer of granular material or visc...
J. H. P. Dawes, S. Lilley