一种改进的范式方法的应用

基金项目: 国家自然科学基金资助(10072037);加拿大NSERC资助;国家自然科学基金重大项目资助(19990510)

The Application of a Modified Normal Form Approach

1.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
2.
Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

摘要: 对ZHANGWei-yi和K.Huseyin等人提出的改进的范式方法作了进一步发展,引进了不同的分析过程,使其更适合于符号推导语言(如MAPLE)的应用.与过去的方法相比,在实际计算范式时,文中介绍的分析过程更简便、实用,具有更多的优越性.文中3个范例说明了此结论.
- 非线性系统 /
- 改进的范式方法 /
- 符号推导
Abstract: The modified normal form approach presented by ZHANG Wei-yi, K Huseyin and CHEN Yu-shu is further extended and a different procedure is introduced which lends itself readily to symbolic calculations, like MAPLE. This provides a number of significant advantages over the previous approach, and facilitates the associated calculations. To illustrate the new approach, three examples are presented.
- nonlinear dynamical system /
- modified normal form approach /
- symbolic calculations

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