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COMPUTATION OF THE THIRD ORDER NORMAL FORM FOR SIX-DIMENSIONAL NONLINEAR DYNAMICAL SYSTEMS

Yi Chen and Wei Zhang College of Mechanical Engineering, Beijing University of Technology Beijing 100022, P. R. China, E-mail: cynba@emails.bjut.edu.cn

Abstract: An improved adjoint operator method is employed to compute the third order normal form of six dimensional nonlinear dynamical systems and the associated nonlinear transformation for the first time. First an improved adjoint operator method is briefly introduced. Then, a general six dimensional nonlinear system is analyzed to drive the formula of computing the third order normal form. Finally, the MAPLE symbolic program for calculating the third order normal form is given. The concrete normal for... More
Keywords：

Normal form; adjoint operator method; nonlinear transformation; high dimensional nonlinear systems; Maple program;

Conference Name：

第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议

Conference Time：

2004-10

Conference Place：

中国江苏南京

  • Series：

    (A) Mathematics/ Physics/ Mechanics/ Astronomy

  • Subject：

    Mathematics

  • Classification Code：

    O19

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