Henrique Vitório
Published 2023-10-26Version 1
We consider the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one. By considering an action functional which keeps fixed the energy we obtain the adequate notion of conjugacy along an electromagnetic geodesic. Then we employ a functional analytic criterion for bifurcation of critical points of strongly indefinite functionals, based on the so-called crossing form, to obtain a sufficient condition for bifurcation of electromagnetic geodesics to occur.
A $K$-theoretical invariant and bifurcation for a parameterized family of functionals
Bifurcations from nondegenerate families of periodic solutions
Methods of topological degree theory in Malkin I. G. - Melnikov V. K.'s problems for periodically perturbed systems
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