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Distribution of Limit Cycles in Quadratic Systems with Four Finite Singularities

机译:四有限奇异二次系统极限环的分布

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In this paper we prove that if a quadratic system with four finite singularitiescontains a weak singularity, then there exists at most one limit cycle not surrounding this singularity. We also show that if the limit cycles of quadratic systems with four finite singularities are distributed over two nests then each nest contains exactly one limit cycle.

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