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Persistent localized states for a chaotically mixed bistable reaction (2006)
Journal Article
Cox, S. M. (2006). Persistent localized states for a chaotically mixed bistable reaction. Physical Review E, 74(5),

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 sufficiently slow, the disturbance may spread and eventually occupy the entire... Read More about Persistent localized states for a chaotically mixed bistable reaction.

Class-D audio amplifiers with negative feedback (2006)
Journal Article
Cox, S. M., & Candy, B. H. (2006). Class-D audio amplifiers with negative feedback. SIAM Journal on Applied Mathematics, 66(2),

There are many different designs for audio amplifiers. Class-D, or switching, amplifiers generate their output signal in the form of a high-frequency square wave of variable duty cycle (ratio of on time to off time). The square-wave nature of the ou... Read More about Class-D audio amplifiers with negative feedback.

A bistable reaction-diffusion system in a stretching flow (2006)
Journal Article
Cox, S. M., & Gottwald, G. A. (2006). A bistable reaction-diffusion system in a stretching flow. Physica D: Nonlinear Phenomena, 216(2),

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 equations (ODEs) for the dynamics of the governing advection-reaction-diffu... Read More about A bistable reaction-diffusion system in a stretching flow.

Reduced models of chemical reaction in chaotic flows (2006)
Journal Article
Vikhansky, A., & Cox, S. M. (2006). Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18(3), https://doi.org/10.1063/1.2182373

We describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first track... Read More about Reduced models of chemical reaction in chaotic flows.