Journal ArticleDOI
Bifurcation hierarchy of symmetric structures
TLDR
In this paper, a group-theoretic method for the analysis of bifurcation behavior of regular-polygonal symmetric structures is described, and the existence of a potential function plays a substantial role for the existence and stability of the branching paths.About:
This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 72 citations till now. The article focuses on the topics: Saddle-node bifurcation & Bifurcation diagram.read more
Citations
More filters
Journal ArticleDOI
An introduction to the analysis of symmetric structures
TL;DR: In this article, the authors review and explain the techniques used to analyse symmetric structures subject to a general loading and introduce the most general way of describing the full symmetry properties of a structure based on group representation theory, and show how this approach can be used to systematically simplify a structural analysis.
Journal ArticleDOI
Group-theoretic exploitations of symmetry in computational solid and structural mechanics
TL;DR: The use of group theory in simplifying the study of problems involving symmetry is a well-established approach in various branches of physics and chemistry, and major applications in these areas date back more than 70 years as discussed by the authors.
Journal ArticleDOI
Bifurcation analysis of symmetric structures using block-diagonalization
Kiyohiro Ikeda,Kazuo Murota +1 more
TL;DR: In this article, a group-theoretic method to trace bifurcation behavior of truss structures with regular-polygonal symmetry is proposed, which decomposes the tangent-stiffness matrix into a block-diagonal form with possible occurrences of twice-repeated matrices.
Journal ArticleDOI
Spatial period-doubling agglomeration of a core-periphery model with a system of cities
TL;DR: In this article, the progress of spatial agglomeration of Krugman's core-periphery model is investigated by comparative static analysis of stable equilibria with respect to transport costs.
Journal ArticleDOI
Group Symmetry in Interior-Point Methods for Semidefinite Program
TL;DR: Group symmetric Semi-Definite Programs (SDPs) as discussed by the authors are a class of SDPs that preserve group symmetry along the search direction, which theoretically guarantees that the numerically obtained optimal solution is group symmetric.
References
More filters
Book
Linear Representations of Finite Groups
TL;DR: Representations and characters: generalities on linear representations character theory subgroups, products, induced representation compact groups examples.