Journal of Systems Science and Complexity

, Volume 20, Issue 3, pp 461–469 | Cite as

A Note on the Stability of a Class of Degenerate Planar Critical Points

  • Tusen HuangEmail author
  • Qi Zhang


A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 (2000), p.709].


Isolated singular point monodromy singular point characteristic direction return map stability 


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© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  1. 1.Institute of MathematicsZhejiang Sci-Tech UniversityHangzhouChina
  2. 2.Department of MathematicsNanjing UniversityNanjingChina

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