Fürkotter, M.; Rodrigues, H. M. Periodic solutions of forced nonlinear second order equations: symmetry and bifurcations. (English) Zbl 0616.34042 SIAM J. Math. Anal. 17, 1319-1331 (1986). The 2-parameter equation ü\(+u=g(u,p)+\mu f(t)\), where f is even and \(\pi\)-periodic and g is odd with respect to u, is analyzed concerning number and symmetry properties of \(2\pi\)-periodic solutions in a neighborhood of \(u=p=\mu =0\). Reviewer: D.Erle Cited in 1 Document MSC: 34C25 Periodic solutions to ordinary differential equations 37G99 Local and nonlocal bifurcation theory for dynamical systems 34A34 Nonlinear ordinary differential equations and systems 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations Keywords:Duffing’s equation; Fredholm alternative; Lyapunov-Schmidt method; bifurcation equation; second order differential equation PDFBibTeX XMLCite \textit{M. Fürkotter} and \textit{H. M. Rodrigues}, SIAM J. Math. Anal. 17, 1319--1331 (1986; Zbl 0616.34042) Full Text: DOI