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Simplicial complex with approximate rotational symmetry: a general class of simplicial complexes
journal contribution
posted on 2023-06-09, 18:07 authored by Sigurdur Albertsson, Sigurdur Hafsteom, Peter GieslPeter Giesl, Skuli GudmundssonWe 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.
Funding
Lyapunov Methods and Stochastic Stability; ICELANDIC RESEARCH FUND; 152429-051
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of Computational and Applied MathematicsISSN
0377-0427Publisher
ElsevierExternal DOI
Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-06-20First Open Access (FOA) Date
2020-06-19First Compliant Deposit (FCD) Date
2019-06-19Usage metrics
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