In this work, we study bifurcation in the von Kármán equations for a thin circular elastic plate which lies on the elastic base and is simply supported and subjected to a compressive force along the boundary. Applying analytical methods, we prove the existence of stable and unstable simple bifurcation points in the solution set of these equations.
"Stable and unstable bifurcation in the von Kármán problem for a circular plate." Abstr. Appl. Anal. 2005 (8) 889 - 899, 16 October 2005. https://doi.org/10.1155/AAA.2005.889