Turing patterns and solitary structures under global control

Abstract

Striped Turing patterns and solitary band and disk structures are constructed using a three-variable multiscale model with cubic nonlinearity and global control. The existence and stability conditions of regular structures are analysed using the equation of motion of curved boundaries between alternative states of the short-range component. The combined picture of transitions between striped and spotted patterns with changing level of global control is in qualitative agreement with the results of the computer experiment by Middya and Luss

RevTeX 30 pages, 10 PS-figures

References in corpus (1)

• Complex Patterns in a Simple System

Cited by in corpus (7)

• Theory of domain patterns in systems with long-range interactions of Coulomb type
• Nonlocal Boundary Dynamics of Traveling Spots in a Reaction-Diffusion System
• Interaction of Reaction-Diffusion Fronts and Marangoni Flow on the Interface of Deep Fluid
• Conjugate coupling induced symmetry breaking and quenched oscillations
• Spontaneous symmetry breaking due to the trade-off between attractive and repulsive couplings
• Kink Arrays and Solitary Structures in Optically Biased Phase Transition
• The biological frontier of pattern formation