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arXiv · 2607.14533

Bifurcations of periodic and antiperiodic orbits near an equilibrium in autonomous differential delay systems with one or two delays

Guangcun Lu
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Abstract

We investigate bifurcations of periodic and antiperiodic solutions near equilibria for four classes of potential differential-delay equations involving one or two delays. By reformulating each system as a (generalized) Hamiltonian system, and applying the Hamiltonian bifurcation theory recently developed by the author we obtain bifurcation results of both Fadell--Rabinowitz and Rabinowitz type. The analysis relies on the computation of Maslov--type indices for fundamental solutions of the associated linear Hamiltonian systems.

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Guangcun Lu. 2026-07-22. Bifurcations of periodic and antiperiodic orbits near an equilibrium in autonomous differential delay systems with one or two delays. https://arxiv.org/abs/2607.14533

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