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Science in China Series A: Mathematics

, Volume 44, Issue 3, pp 365–377 | Cite as

Theory of center-focus for a class of higher-degree critical points and infinite points

  • Yirong Liu
Article

Abstract

For the real planar autonomous differential system, the questions of detection between center and focus, successor function, formal series, central integration, integration factor, focal values, values of singular point and bifurcation of limit cycles for a class of higher-degree critical points and infinite points are expounded.

Keywords

higher-degree critical infinite point center-focus bifurcation of limit cycle 

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References

  1. 1.
    Ye, Y. Q., Qualitative Theory of Polynomial Differential Systems (in Chinese), Shanghai: Shanghai Scientific & Technical Publishers, 1995.Google Scholar
  2. 2.
    Anderonov, A. A., Theory of Oscillating (Translated in Chinese), Beijing: Science Press, 1973.Google Scholar
  3. 3.
    Liu, Y. R., Li, J. B., Theory of values of singular point in complex autonomous differential system, Science in China, Ser. A, 1990, 33(1): 10.zbMATHGoogle Scholar
  4. 4.
    Galubiev, B. B., Teaching Materials on Analytic Theory of Differential Equations (Translated in Chinese), Beijing: Higher Education Press, 1956.Google Scholar
  5. 5.
    Griffiths, P., Algebraic Curves (Translated in Chinese), Beijing: Peking University Press, 1985, 70.Google Scholar
  6. 6.
    Chebataliov, H. G., Theory of Algebraic Curves (Translated in Chinese), Beijing: Higher Education Press, 1956, 257.Google Scholar

Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Department of MathematicsCentral South UniversityChangshaChina

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