15 citations · 35 across the 3 of their papers we have counts for
3 papers
nlin.PS2007★ 15 cited
Pattern formation in the damped Nikolaevskiy equation
S. M. Cox, P. C. Matthews
The Nikolaevskiy equation has been proposed as a model for seismic waves, electroconvection and weak turbulence; we show that it can also be used to model transverse instabilities…
nlin.CD2006★ 5 cited
Persistent localized states for a chaotically mixed bistable reaction
Stephen M. Cox
We describe the evolution of a bistable chemical reaction in a closed two-dimensional chaotic laminar flow, from a localized initial disturbance. When the fluid mixing is sufficien…
nlin.PS2006★ 15 cited
A bistable reaction--diffusion system in a stretching flow
Stephen M. Cox, Georg A. Gottwald
We examine the evolution of a bistable reaction in a one-dimensional stretching flow, as a model for chaotic advection. We derive two reduced systems of ordinary differential equat…