Dynamical Systems on Bundles

2009/03/02 by Tekkoyun, Mehmet
#53C15 #70H03 #70H05 #Dynamical Systems (math.DS) #FOS: Mathematics #PACS: 02.40

paper · doi:10.48550/arxiv.0903.0224

Abstract

In this study, Hamiltonian and Lagrangian theories, which are mathematical models of mechanical systems, are structured on the horizontal and the vertical distributions of tangent and cotangent bundles. In the end, the geometrical and physical results related to Hamiltonian and Lagrangian dynamical systems are concluded.

Related

• Complex Dynamics Effect on Distributions
• Lagrangian and Hamiltonian dynamics of submanifolds
• A note on Newtonian, Lagrangian and Hamiltonian dynamical systems in Riemannian manifolds
• Geometric Structures in Field Theory
• Lagrangian and Hamiltonian Geometries. Applications to Analytical Mechanics