Next Article in Journal
Cosmetic Detection Framework for Face and Iris Biometrics
Previous Article in Journal
Symmetry Reduction and Numerical Solution of Von K a ´ rm a ´ n Swirling Viscous Flow
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessFeature PaperArticle
Symmetry 2018, 10(4), 121;

Stability of Bounded Dynamical Networks with Symmetry

ESIPP, University College Dublin, Dublin 4, Ireland
Received: 2 April 2018 / Revised: 12 April 2018 / Accepted: 13 April 2018 / Published: 19 April 2018
Full-Text   |   PDF [1856 KB, uploaded 3 May 2018]   |  


Motivated by dynamical models describing phase separation and the motion of interfaces separating phases, we study the stability of dynamical networks in planar domains formed by triple junctions. We take into account symmetry, angle-intersection conditions at the junctions and at the points at which the curves intersect with the boundary. Firstly, we focus on the case of a network where two triple junctions have all their branches unattached to the boundary and then on the case of a network of hexagons, with one of them having all its branches unattached to the boundary. For both type of networks, we introduce the evolution problem, identify the steady states and study their stability in terms of the geometry of the boundary. View Full-Text
Keywords: intersection; network; symmetry; nodes; geometry; differential; boundary intersection; network; symmetry; nodes; geometry; differential; boundary

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Dassios, I.K. Stability of Bounded Dynamical Networks with Symmetry. Symmetry 2018, 10, 121.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top