A necessary and sufficient condition for transforming autonomous systems into linear autonomous Birkhoffian systems
A necessary and sufficient condition for transforming autonomous systems into linear autonomous Birkhoffian systems
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DOI：
10.1088/1674-1056/22/10/104501
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发表时间：
2013-10
影响因子：
1.7
通讯作者：
Jin-Chao Cui;Shixing Liu;Duan Song
中科院分区：
文献类型：
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作者：
Jin-Chao Cui;Shixing Liu;Duan Song
研究了自治系统转化为Birkhoff系统的问题。给出了线性自治Birkhoff方程的一种合理形式。将其与待定张量法相结合，得到了自治系统具有线性自治Birkhoff方程表示的一个充要条件.给出了Birkhoff动力学函数的构造方法。举例说明结果的应用.
The problem of transforming autonomous systems into Birkhoffian systems is studied. A reasonable form of linear autonomous Birkhoff equations is given. By combining them with the undetermined tensor method, a necessary and sufficient condition for an autonomous system to have a representation in terms of linear autonomous Birkhoff equations is obtained. The methods of constructing Birkhoffian dynamical functions are given. Two examples are given to illustrate the application of the results.