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Volume 2, Issue 2, 1 August 2018, Pages 233-262
Abstract. The goal of this paper is to study the equivariant Hopf bifurcation of relative periodic solutions from relative equilibria in a system of five identical passively mode-locked semiconductor lasers coupled in the -equivariant fashion. Each laser is described by a delay differential model respecting a spacial -symmetry. The existence of branches of relative periodic solutions together with their symmetric classification is established using the equivariant twisted -degree with one free parameter. Theoretical results are supported by numerical simulations.
How to Cite this Article:
Zalman Balanov, Pavel Kravetc, Wieslaw Krawcewicz, Dmitrii Rachinskii, Hao-pin Wu, Hopf bifurcation of relative periodic solutions in a system of five passively mode-locked lasers, J. Nonlinear Var. Anal. 2 (2018), 233-262.