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

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