Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 241, Issue 16, Pages 1351-1357Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2012.05.002
Keywords
Turing instability; Diffusively coupled networks; Localized patterns
Ask authors/readers for more resources
We study the emergence of patterns in a diffusively coupled network that undergoes a Turing instability. Our main focus is the emergence of stable solutions with a single differentiated node in systems with large and possibly irregular network topology. Based on a mean-field approach, we study the bifurcations of such solutions for varying system parameters and varying degree of the differentiated node. Such solutions appear typically before the onset of Turing instability and provide the basis for the complex scenario of multistability and hysteresis that can be observed in such systems. Moreover, we discuss the appearance of stable collective patterns and present a codimension-two bifurcation that organizes the interplay between collective patterns and patterns with single differentiated nodes. (C) 2012 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available