title: Spirals and targets in reaction-diffusion systems.
abstract: The existence of spirals and targets is common in reaction diffusion systems of excitable dynamics. I present a multiple scale perturbation analysis to show the existence of all these patterns near a Hopf bifurcation boundary in a Turing type reaction-diffusion system.
authors.affiliation: Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India.
authors.forename: A
authors.initials: A
authors.lastname: Bhattacharyay