Bifurcations in Delay Differential Equations: an algorithmic approach in frequency domain
arXiv:1609.07763 · doi:10.1142/S0218127416502382
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.
20 pages