Dynamical Systems on Clifford and Ka ̈hler Manifolds

Abstract

Dynamical Systems is the study of the long-term behavior of evolving systems. In this research we studied Lagrangian and Hamiltonian Dynamical systems using Clifford Ka ̈hler manifolds. The Clifford Ka ̈hler analogue of Lagrangian and Hamilton Dynamical systems is introduced. In fact a new dynamics on Clifford Ka ̈hler manifold has been constructed via some local canonical basis. This construction provides wide applications to Physical equations and their geometrical interpretation.