Abstract
We study a class of quartic polynomial Poincare equations by applying a recurrence formula of focal value. We give the necessary and sufficient conditions for the origin to be a center, and prove that the order of fine focus at the origin for this class of equations is at most 6.
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Foundation item: Supported by the National Natural Science Foundation of China (19531070)
Biography: TIAN De-sheng (1966-), male, Ph. D candidate, research direction: qualitative theory of differential equation.
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De-sheng, T., Xian-wu, Z., Chang-chun, Y. et al. The center and the fine focus for a class of quartic polynomial poincare equations. Wuhan Univ. J. Nat. Sci. 9, 867–870 (2004). https://doi.org/10.1007/BF02850788
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DOI: https://doi.org/10.1007/BF02850788