Mechanical analysis of Qi four-wing chaotic system

This paper decomposes vector field of the Qi four-wing chaotic system into four types of torques: inertial torque, internal torque, dissipation and external torque by comparing the system with Kolmogorov system and Euler equation. Angular momentum representing the physical analog of the state variables of the chaotic system is identified. Hamiltonian energy transformation between kinetic energy and potential is exposed using Lie-Poisson bracket. It is discovered that the vector field containing inertial torque and dissipative torque is the basic and necessary condition of producing chaos. Five cases of studies have been conducted to discover the insights and functions of different types of torques of the four-wing chaotic attractor and key factors of producing different types of modes of dynamics.