Simplicial complex with approximate rotational symmetry: a general class of simplicial complexes

Albertsson, Sigurdur, Hafsteom, Sigurdur, Giesl, Peter and Gudmundsson, Skuli (2019) Simplicial complex with approximate rotational symmetry: a general class of simplicial complexes. Journal of Computational and Applied Mathematics. ISSN 0377-0427

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Abstract

We study the transformation of the vertices of a certain simple simplicial complex in n-dimensional Euclidian space and prove that the resulting set of simplices is a simplicial complex with an approximate rotational symmetry. Such simplicial complexes have applications in computing Lyapunov function for nonlinear dynamical systems using linear optimization and are also of interest for other applications.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Analysis and Partial Differential Equations Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Alice Jackson
Date Deposited: 20 Jun 2019 10:57
Last Modified: 01 Jul 2019 12:16
URI: http://sro.sussex.ac.uk/id/eprint/84406

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Project NameSussex Project NumberFunderFunder Ref
Lyapunov Methods and Stochastic StabilityUnsetICELANDIC RESEARCH FUND152429-051