Abstract In this paper, the existence of periodic orbits and the non-existence of limit cycles for the second-order autonomous Birkhoff system are studied. Further the existence of algebraic limit cycles for a generalized second-order autonomous Birkhoff system is studied.
Received: 10 December 2002
Revised: 22 January 2003
Accepted manuscript online:
Fund: Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0211011800), and by the Foundation for University Young Key Teachers of Henan Province, China.
Cite this article:
Chen Xiang-Wei (陈向炜) Closed orbits and limit cycles of second-order autonomous Birkhoff systems 2003 Chinese Physics 12 586
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