Periodic solutions and bifurcations of delay-differential equations

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Approximate Solutions of Generalized Pantograph Equations by the Differential Transform Method (2007, background): “Many phenomena in applied sciences can be successfully modelled by these equations [1-4].”
Application of He's Homotopy Perturbation Method to Sumudu Transform (2007, methodology): “This new method was further developed and improved by He and applied to non-linear oscillators with discontinuity [7], asymptotology [8], non-linear wave equations [9], bifurcation of nonlinear problems [10], limit cycle [11], delaydifferential equations [[12], and boundary values problems [13].”
Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method (2008, methodology): “Many effective methods [1–13] have been presented such as the variational iteration method [2, 6, 12], the homotopy perturbation method [ 3 ], the F-expansion method [5], as well as others.”