Abstract
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].
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The work is supported by Zhejiang Provincial Natural Science Foundations (No. Y604359) and National Natural Science Foundation of China (No. 10371123, 10471130).
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Huang, T., Zhang, Q. A Note on the Stability of a Class of Degenerate Planar Critical Points. Jrl Syst Sci & Complex 20, 461–469 (2007). https://doi.org/10.1007/s11424-007-9042-1
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DOI: https://doi.org/10.1007/s11424-007-9042-1