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Periodic solutions of forced nonlinear second order equations: symmetry and bifurcations. (English) Zbl 0616.34042

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

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
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