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• W2726474369 abstract "In this work, we develop a homotopy continuation method to find the characteristic roots of delay differential equations with multiple delays. We introduce a homotopy parameter μ into the characteristic equation in such a way that for μ = 0 this equation contains only one exponential term (corresponding to the largest delay) and for μ = 1 the original characteristic equation is recovered. For μ = 0, all the characteristic roots can be expressed in terms of the Lambert W function. Pseudo-arclength continuation is then used to trace the roots as a function of μ. We demonstrate the method on several test cases. Cases where it may fail are also discussed." @default.
• W2726474369 created "2017-07-14" @default.
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• W2726474369 date "2017-06-28" @default.
• W2726474369 modified "2023-09-27" @default.
• W2726474369 title "Homotopy continuation for characteristic roots of delay differential equations using the Lambert W function" @default.
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• W2726474369 doi "https://doi.org/10.1177/1077546317717629" @default.
• W2726474369 hasPublicationYear "2017" @default.
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