title: Subcritical Turing bifurcation and the morphogenesis of localized patterns.
abstract: Subcritical Turing bifurcations of reaction-diffusion systems in large domains lead to spontaneous onset of well-developed localized patterns via the homoclinic snaking mechanism. This phenomenon is shown to occur naturally when balancing source and loss effects are included in a typical reaction-diffusion system, leading to a super- to subcritical transition. Implications are discussed [corrected]for a range of physical problems, arguing that subcriticality leads to naturally robust phase transitions to localized patterns.
authors.affiliation: Departamento de Nanotecnología, Centro de Física Aplicada y Tecnología Avanzada, Universidad Nacional Autónoma de México, Juriquilla No. 3001, Querétaro 76230, Mexico and Department of Engineering Mathematics, University of Bristol, Queen's Building, University Walk, Bristol BS8 1TR, United Kingdom.
authors.forename: Víctor
authors.initials: V
authors.lastname: Breña-Medina
authors.affiliation: Department of Engineering Mathematics, University of Bristol, Queen's Building, University Walk, Bristol BS8 1TR, United Kingdom.
authors.forename: Alan
authors.initials: A
authors.lastname: Champneys
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D008962:Models, Theoretical; D017711:Nonlinear Dynamics