Geodesic
Invariant manifolds of the Hoff equation
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 444-449

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The Hoff equation $(\lambda+\Delta)u_t=-\alpha u-\beta u^3$ models the buckling of a T-shaped beam, where $\lambda$, $\alpha$, and $\beta\in\mathbb R_+$ are the parameters of the model. The existence of a finite-dimensional local invariant manifold is established in the neighborhood of zero. 
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     author = {G. A. Sviridyuk and O. G. Kitaeva},
     title = {Invariant manifolds of the {Hoff} equation},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a10/}
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G. A. Sviridyuk; O. G. Kitaeva. Invariant manifolds of the Hoff equation. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 444-449. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a10/