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arXiv · 1609.07763

Bifurcations in Delay Differential Equations: an algorithmic approach in frequency domain

Andrea Bel·Walter Reartes·Ana Torresi
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Abstract

In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.

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Andrea Bel, Walter Reartes, Ana Torresi. 2016-09-25. Bifurcations in Delay Differential Equations: an algorithmic approach in frequency domain. https://doi.org/10.1142/s0218127416502382

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