Abstract In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.
Received: 28 February 2006
Revised: 19 May 2006
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No 10572021) and
the Doctoral Program Foun-\linebreak \makebox[1.6mm]{dation of
Institution of Higher Education, China (Grant No
20040007022).
Cite this article:
Mei Feng-Xiang(梅凤翔), Wu Hui-Bin(吴惠彬), Shang Mei(尚玫), and Zhang Yong-Fa(张永发) Stability with respect to partial variables for Birkhoff systems 2006 Chinese Physics 15 1932
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