title: Self-similar Turing patterns: An anomalous diffusion consequence.
abstract: In this work, we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through diffusion-driven instability. We also find spiral patterns and patterns with mixtures of rotational symmetries. The type of anomalous diffusion discussed in this work, either subdiffusion or superdiffusion, is a consequence of the medium heterogeneity, and it is modeled through a space-dependent diffusion coefficient with a power-law functional form.
authors.affiliation: Posgrado en Ciencias de la Complejidad, Universidad Autónoma de la Ciudad de México, Ciudad de México, Laboratorio Nacional de Ciencias de la Complejidad, Ciudad de México, Mexico.
authors.forename: D
authors.initials: D
authors.lastname: Hernández
authors.affiliation: CONACYT-Centro de Ingeniería y Desarrollo Industrial, Av. Playa pie de la Cuesta 702, Desarrollo Sn. Pablo, 76125, Querétaro, Qro., Mexico.
authors.forename: E C
authors.initials: EC
authors.lastname: Herrera-Hernández
authors.affiliation: Departamento de Matemáticas Aplicadas y Sistemas, DMAS Universidad Autónoma Metropolitana, Cuajimalpa, Av. Vasco de Quiroga, 4871, Sta. Fe Cuajimalpa, Cuajimalpa de Morelos, 05300, Mexico.
authors.forename: M
authors.initials: M
authors.lastname: Núñez-López
authors.affiliation: Departamento de Física, Facultad de Ciencias, UNAM, A. P. 50-542, Mexico DF, 04510, Mexico.
authors.forename: H
authors.initials: H
authors.lastname: Hernández-Coronado