245 citations · 295 across the 6 of their papers we have counts for
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nlin.PS2006
High Lewis number combustion wavefronts: a perturbative Melnikov analysis
S. Balasuriya, G. A. Gottwald, J. Hornibrook +1
The wavefronts associated with a one-dimensional combustion model with Arrhenius kinetics and no heat loss are analyzed within the high Lewis number perturbative limit. This situat…
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…
nlin.PS2006★ 9 cited
A normal form for excitable media
Georg A. Gottwald, Lorenz Kramer
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-nod…