6533b86efe1ef96bd12cc927

RESEARCH PRODUCT

Spatial recurrence strategies reveal different routes to Turing pattern formation in chemical systems

Angelo FacchiniChiara MocenniFederico Rossi

subject

PhysicsGeneral Physics and AstronomyPattern formationSpatial recurrence plotsBelousov–Zhabotinsky reactionTuring patternsSelf-replicationRecurrence quantification analysisGeneralized recurrence quantification analysis; Spatial recurrence plotsSpatial ecologyRecurrence plotBiological systemTuringcomputerGeneralized recurrence quantification analysiscomputer.programming_language

description

We analyze the temporal evolution of hexagonal Turing patterns in two Belousov–Zhabotinsky reactions performed in water-in-oil reverse micro-emulsions under different experimental conditions. The two reactions show different routes to pattern formation through localized spots and through a self replication mechanism. The Generalized Recurrence Plot (GRP) and the Generalized Recurrence Quantification Analysis (GRQA) are used for the investigation of spatial patterns and clearly reveal the different routes leading to the formation of stationary Turing structures.

https://doi.org/10.1016/j.physleta.2009.09.049