Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1996-05-09
Phys. Rev. Lett., 77 (1996) 2847
Nonlinear Sciences
Pattern Formation and Solitons
10 pages Revtex, 2 figures included
Scientific paper
10.1103/PhysRevLett.77.2847
We consider the bifurcation problem $u'' + \lambda u = N(u)$ with two point boundary conditions where $N(u)$ is a general nonlinear term which may also depend on the eigenvalue $\lambda$. We give a variational characterization of the bifurcating branch $\lambda$ as a function of the amplitude of the solution. As an application we show how it can be used to obtain simple approximate closed formulae for the period of large amplitude oscillations.
Benguria Rafael D.
Depassier Cristina M.
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