Study on the Correspondence of Hamiltonian Flows and Functions of Brake Hamiltonian System Based on Mechanical Mechanics

Abstract

This paper studies the Hamiltonian flows and functions of the brake Hamiltonian dynamical system. By the properties of the brake Hamiltonian system and the transformation law of Hamiltonian diffeomorphisms, this paper proves the correspondence of the Hamiltonian flows and the symmetrical Hamiltonian functions under some conditions.