论文标题

MATLAB中延迟方程的Floquet乘数的分段伪谱搭配的实用指南

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

论文作者

Breda, Dimitri, Liessi, Davide, Vermiglio, Rossana

论文摘要

近年来,我们提供了基于伪轴承搭配的数值方法,用于计算不同类型延迟方程的浮动乘数,目的是研究其周期性解决方案的稳定性。该系列的最新工作涉及将这些方法扩展到分段方法,以便考虑到数值计算的解决方案的属性。在本章中,我们描述了此方法的MATLAB实现,并提供了实际用法示例。

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.

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