国家自然科学基金（10272022）资助项目
本文针对简化了的部分充液卫星模型，分析了系统的非线性稳定性，指出了系统发生Hopf分岔的临界参数，并用中心流形方法研究了其稳定性.最后，通过相平面轨迹和基于最大Lyapunov指数的参数图，分析了系统的非线性机制.
The aim of this paper is to study the nonlinear stability and dynamics behaviors of a simplified partially-filled satellite．The sufficient condition of stability of the satellite was obtained using Lyapunov direct method．Also we point out the critical parameter when Hopf bifurcation occurred and determine stability of Hopf bifurcation．At last，By the track in the phase space and the largest Lyapunov exponent，the nonlinear mechanisms in system are analyzed．
朱金林,岳宝增.部分充液卫星的非线性稳定性和动力学分析[J].动力学与控制学报,2004,2(3):1~5; Zhu Jinlin, Yue Baozeng. Nonlinear stability and dynamics analysis of a satellite with partially filled liquid[J]. Journal of Dynamics and Control,2004,2(3):1-5.
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