The theoretical model of Hamiltonian systems was established by W. R. Hamilton from geometric optics, and then he creatively studied classical mechanics according to the profound relationship between optics and mechanics, and obtained a third formation of mechanics—Hamiltonian principle, which is equivalent to the variational principles of Newtonian system and Lagrangian system in classical mechanical description. The Hamiltonian principle is used in almost every aspect of daily life, including structural biology, pharmacology, semiconductors, plasma, celestial mechanics, and so on. One of the founders of quantum mechanics Schrödinger once said that the Hamiltonian principle has become the cornerstone of modern physics. If you want to use modern theory to solve any physical problem, you must first express it as a Hamiltonian form [6]. The Hamiltonian system is a mathematical representation of the Hamiltonian principle.