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Chinese Science Bulletin

, Volume 42, Issue 14, pp 1157–1161 | Cite as

Conditions for origin to be a center and the bifurcation of limit cycles in a class of cubic systems

  • Jiehua Zhu
  • Siming Zhu
Bulletin
  • 13 Downloads

Keywords

center fine focus focal value limit cycle symbolic computation 

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References

  1. 1.
    Zhang Zhifen,Qualitative Theory of Differential Equations (in Chinese), Beijing: Science Press, 1985, 102–114.Google Scholar
  2. 2.
    Wu Wentsun,Basic Principles of Mechanical Theorem Proving in Geometries (in Chinese), Beijing: Science Press, 1984, 156–180.Google Scholar
  3. 3.
    Zhu Siming, Zhu Jiehua, On the problem of distinguishing between a focus and a center for plane cubic systems,Ordinary Differential Equations Theory and its Applications (in Chinese), Beijing: Science Press, 1992, 222–222.Google Scholar
  4. 4.
    Kukles, I. S., Sur quelques cas de distinction entre un foyer et un centre,Dokl. Akad. Nauk. SSSR, 1944, 42: 208–211.Google Scholar

Copyright information

© Science in China Press 1997

Authors and Affiliations

  • Jiehua Zhu
    • 1
  • Siming Zhu
    • 1
  1. 1.Department of MathematicsZhongshan UniversityGuangzhouChina

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