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TW 377
Kirk Green, Bernd Krauskopf, Dirk Roose
Software for computing unstable manifolds in delay differential equations
Abstract
This report demonstrates how to compute 1D unstable manifolds in delay differential equations (DDEs) with discrete, fixed delays. Specifically, using the Matlab continuation package DDE-BIFTOOL to compute the necessary starting data, we first show how to compute unstable manifolds of saddle steady states using time integration. Secondly, we use a recently developed algorithm to compute the unstable manifold of a saddle periodic orbit in a DDE. As illustration we consider two DDE models describing semiconductor lasers subject to phase-conjugate feedback and conventional optical feedback.
report.pdf / mailto: D. Roose