摘要
研究了Birkhoff系统的Hamilton化问题.提出了Birkhoff系统变换为Hamilton系统的新方法和对应的条件,给出了利用规范变换和变量变换来构造Birkhoff系统的Hamilton函数的途径,指出了所有2阶规则的Birkhoff系统都可以Hamilton化.举例说明结果的应用.
The Hamiltonization of Birkhoffian systems was studied . A new method and the corresponding conditions for the transformation of Birkhoffian systems into Hamihonian ones were presented. The approach to the construction of Hamihonian for the Birkhoffian systems by means of the gauge transformations and the transformations of the variables was given. It was pointed out that Hamihonization for all second order regular Birkhoffian systems can be realized. Two examples were given to illustrate the application of the results.
出处
《动力学与控制学报》
2010年第1期8-11,共4页
Journal of Dynamics and Control