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SIAMADS
2010
105views more  SIAMADS 2010»
12 years 11 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»
12 years 11 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