Dynamical Systems in Manifolds

Abstract

In this thesis, we study Dynamical systems on manifolds, we present a new analogue of Euler-Lagrange and Hamilton equations on an almost Kahler model of a Finsler manifold. Also, we give some corollaries about the related mechanical systems and equations. The geometrical and mechanical results on the constrained mechanical system have also been discussed. The aim of this thesis is to give a detailed presentation of some of the most important results in the field.