Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof

Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1

In this paper, we prove existence of symmetric homoclinic orbits for the suspension bridge equation $u""+\beta u"+e^u-1=0$ for all parameter values $\beta \in [0.5,1.9]$. For each $\beta$, a p…