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A practical guide to piecewise pseudospectral collocation for Floquet multipliers of delay equations in MATLAB

Numerical Analysis 2022-03-29 v2 Numerical Analysis

Abstract

In recent years we provided numerical methods based on pseudospectral collocation for computing the Floquet multipliers of different types of delay equations, with the goal of studying the stability of their periodic solutions. The latest work of the series concerns the extension of these methods to a piecewise approach, in order to take the properties of numerically computed solutions into account. In this chapter we describe the MATLAB implementation of this method and provide practical usage examples.

Keywords

Cite

@article{arxiv.2203.12734,
  title  = {A practical guide to piecewise pseudospectral collocation for Floquet multipliers of delay equations in MATLAB},
  author = {Dimitri Breda and Davide Liessi and Rossana Vermiglio},
  journal= {arXiv preprint arXiv:2203.12734},
  year   = {2022}
}