A poincaré-bendixson theorem for analytic families of vector fields

作者: D. Panazzolo , R. Roussarie

DOI: 10.1007/BF01234628

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摘要: We provide a characterization of the limit periodic sets for analytic families vector fields under hypothesis that first jet is non-vanishing at any singular point. Also, applying family desingularization method, we reduce complexity some these sets.

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