Bifurcation analysis of the asymmetric rolling missiles

Abstract

A nonlinear coupling roll-yaw motion general model for small aerodynamic asymmetric rolling missiles is presented to reveal the motion behavior of lock-in and catastrophic yaw in this research. And subsequently, local bifurcation and global bifurcation are both introduced to investigate the principle of lock-in quantitatively and qualitatively. Local dimension reduction of center manifold theorem is applied to analyze the local bifurcation and the stability. Numerical method is performed to investigate global bifurcation and roll lock-in motion. Typical topological models are established to indicate the fundamental mechanisms and characteristics of different dynamic motions. Global domains of attraction of multiple lock-in attractors of the system are determined by numerical method of point mapping under cell reference, and the initial conditions causing lock-in behavior are predicted.