Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations

Andò, Alessia; Breda, Dimitri

doi:10.1016/j.apnum.2023.05.010

Applied Numerical Mathematics

2024

DOI: 10.1016/j.apnum.2023.05.010

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Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations

Alessia Andò

Dimitri Breda

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A practical approach to computing Lyapunov exponents of renewal and delay equations

Breda,

Liessi

2023

MBE

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<abstract><p>We propose a method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type) and of coupled systems of renewal and delay differential equations. The method consists of the reformulation of the delay equation as an abstract differential equation, the reduction of the latter to a system of ordinary differential equations via pseudospectral collocation and the application of the standard discrete QR method. The effectiveness of the method is shown experimentally and a MATLAB implementation is provided.</p></abstract>

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A practical approach to computing Lyapunov exponents of renewal and delay equations

Breda,

Liessi

2023

MBE

View full text Add to dashboard Cite

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Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations

Cited by 1 publication

References 30 publications

A practical approach to computing Lyapunov exponents of renewal and delay equations

A practical approach to computing Lyapunov exponents of renewal and delay equations

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