A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss

Abstract

In this report we consider the possibility of using the differential variational principles of Jourdain and Gauss as a starting point for the study of conservation laws of holonomic conservative and nonconservative dynamical systems with a finite number of degrees of freedom. We demonstrate that this approach has the same status as the method based on the D'Alembert's differential variational principle developed in a previous paper. © 1986 Springer-Verlag.