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General forms of the only normal form of Three-dimensional nonlinear dynamics

Li Jing1, Yang Zhao Li1, Zhang Wei2 1 The College of Applied Sciences, Beijing University of Technology, Beijing 100124, China 2The College of Electro-Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

Abstract: This paper studies the simplest normal form and its unique form of three-dimensional nonlinear dynamics using the methods of new grading function definition, multiple Lie brackets and Maple language, which has important instructional meanings for researching further reduction of high-dimensional normal form and bifurcation theory of limit circle. 
Keywords：

Three-dimensional nonlinear dynamics; The simplest normal form; Grading function; Lie bracket;

Conference Name：

第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议

Conference Time：

2009-05-15

Conference Place：

中国江苏镇江

  • Series：

    (A) Mathematics/ Physics/ Mechanics/ Astronomy

  • Subject：

    Mathematics

  • Classification Code：

    O19

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