title: Transient Turing patterns in a neural field model.
abstract: We investigate Turing bifurcations in a neural field model with one spatial dimension. For some parameter values the resulting Turing patterns are stable, while for others the patterns appear transiently. We show that this difference is due to the relative position in parameter space of the saddle-node bifurcation of a spatially periodic pattern and the Turing bifurcation point. By varying parameters we are able to observe transient patterns whose duration scales in the same way as type-I intermittency. Similar behavior occurs in two spatial dimensions.
authors.affiliation: Institute of Information and Mathematical Sciences, Massey University, Private Bag 102-904, NSMC, Auckland, New Zealand. a.elvin@math.auckland.ac.nz
authors.forename: A J
authors.initials: AJ
authors.lastname: Elvin
authors.forename: C R
authors.initials: CR
authors.lastname: Laing
authors.forename: M G
authors.initials: MG
authors.lastname: Roberts
mesh_terms: D001921:Brain / Q000502:physiology; D008959:Models, Neurological; D009420:Nervous System; D009424:Nervous System Physiological Phenomena; D013997:Time Factors