Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501719 | Journal of Differential Equations | 2005 | 30 Pages |
Abstract
We study electromagnetic conjugate instants with symplectic techniques, and we prove at first, an analogous of the semi-Riemannian Morse Index Theorem (see (Calculus of Variations, Prentice-Hall, Englewood Cliffs, NJ, USA, 1963)). By using this result, together with recent results on the bifurcation for critical points of strongly indefinite functionals (see (J. Funct. Anal. 162(1) (1999) 52)), we are able to prove that each non-degenerate and non-null electromagnetic conjugate instant along a given solution of the semi-Riemannian Lorentz force equation is a bifurcation point.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paolo Piccione, Alessandro Portaluri,