Stability of bounded dynamical networks with symmetry
|Title:||Stability of bounded dynamical networks with symmetry||Authors:||Dassios, Ioannis K.||Permanent link:||http://hdl.handle.net/10197/10552||Date:||19-Apr-2018||Online since:||2019-05-21T07:25:15Z||Abstract:||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.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||MDPI||Journal:||Symmetry||Volume:||10||Issue:||4||Start page:||121||End page:||121||Copyright (published version):||2018 the Author||Keywords:||Intersection; Network; Symmetry; Nodes; Geometry; Differential; Boundary||DOI:||10.3390/sym10040121||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
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