title: Logarithmic Lipschitz norms and diffusion-induced instability.
abstract: This paper proves that contractive ordinary differential equation systems remain contractive when diffusion is added. Thus, diffusive instabilities, in the sense of the Turing phenomenon, cannot arise for such systems. An important biochemical system is shown to satisfy the required conditions.
authors.affiliation: Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019 USA.
authors.forename: Zahra
authors.initials: Z
authors.lastname: Aminzare
authors.forename: Eduardo D
authors.initials: ED
authors.lastname: Sontag