A Note on the Stability of a Class of Degenerate Planar Critical Points
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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].
KeywordsIsolated singular point monodromy singular point characteristic direction return map stability
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