# Bifurcation of critical points along gap-continuous families of subspaces

Candela, Anna Maria, Waterstraat, Nils (2017) Bifurcation of critical points along gap-continuous families of subspaces. Journal of Fixed Point Theory and Applications, 19 (4). pp. 3053-3068. ISSN 1661-7738. E-ISSN 1661-7746. (doi:10.1007/s11784-017-0468-3)

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https://dx.doi.org/10.1007/s11784-017-0468-3

## Abstract

We consider the restriction of twice differentiable functionals on a Hilbert space to families of subspaces that vary continuously with respect to the gap metric. We study bifurcation of branches of critical points along these families, and apply our results to semilinear systems of ordinary differential equations.

Item Type: Article 10.1007/s11784-017-0468-3 Imported from arXiv Bifurcation; gap metric; Grassmannian; spectral flow; semilinear ordinary differential equation Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equationsQ Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Nils Waterstraat 03 Nov 2015 16:42 UTC 16 Jan 2020 12:33 UTC https://kar.kent.ac.uk/id/eprint/51402 (The current URI for this page, for reference purposes)