Based on nonlinear dynamics theory, this paper analyzes the stable field and roads led to chaos of aircraft vertical maneuvering at high angles of attack, analyzes flight stability of aircraft at the high angle state and puts forward the stable field of vertical maneuvering under various matching parameter on the basis of aircraft vertical maneuvering equation. Regarding rudder angle and quality as variable parameters, the chaos movement is analyzed by developing the heteroclinic orbit based on Melnikov method. This provides a theory foundation for the control of aircraft vertical maneuvering at high angles of attack under various conditions.