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

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journal contribution
posted on 2023-06-09, 18:07 authored by Sigurdur Albertsson, Sigurdur Hafsteom, Peter GieslPeter Giesl, Skuli Gudmundsson
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.

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 Mathematics

ISSN

0377-0427

Publisher

Elsevier

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

2019-06-20

First Open Access (FOA) Date

2020-06-19

First Compliant Deposit (FCD) Date

2019-06-19

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