Complex Dynamics Effect on Distributions

TL;DR

This paper explores how complex dynamics influence distributions in Lagrangian and Hamiltonian systems, providing geometric and physical insights into their behavior on tangent and cotangent bundles.

Contribution

It introduces Lagrangian and Hamiltonian systems on distributions of tangent and cotangent bundles, deriving new geometric and physical results.

Findings

New geometric results on dynamical systems

Insights into physical interpretations of complex dynamics

Extension of classical mechanics models

Abstract

In this study, Lagrangian and Hamiltonian systems, which are mathematical models of mechanical systems, were introduced on the horizontal and the vertical distributions of tangent and cotangent bundles. Finally, some geometrical and physical results related to Lagrangian and Hamiltonian dynamical systems were deduced.