activity
19942018
most citedPattern formation with a conservation law

142 citations · 224 across the 8 of their papers we have counts for

collaborators

8 papers

eess.SP2018★ 1 cited

A third-order class-D amplifier with and without ripple compensation

Stephen M. Cox, H. du Toit Mouton

We analyse the nonlinear behaviour of a third-order class-D amplifier, and demonstrate the remarkable effectiveness of the recently introduced ripple compensation (RC) technique in…

nlin.PS2012★ 1 cited

Solitons in a parametrically driven damped discrete nonlinear Schrödinger equation

M. Syafwan, H. Susanto, S. M. Cox

We consider a parametrically driven damped discrete nonlinear Schrödinger (PDDNLS) equation. Analytical and numerical calculations are performed to determine the existence and stab…

nlin.PS2010★ 10 cited

The Nikolaevskiy equation with dispersion

Eman Simbawa, Paul C. Matthews, Stephen M. Cox

The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including…

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…