A nonintersection property for extremals of variational problems with vector-valued functions
Alexander J. Zaslavski · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2006
In this work we study the structure of extremals of variational problems with vector-valued functions on [\left. 0,\infty)\right. . We show that if an extremal is not periodic, then the corresponding curve in the phase space does not intersect itself.