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arXiv 2013-03-10 0 views

On the finiteness of uniform sinks

Yang, Dawei · Zhang, Yong

Original · EN

We study the finiteness of uniform sinks for flow. Precisely, we prove that, for α>0 T>0, if a vector field X has only hyperbolic singularities or sectionally dissipative singularities, then X can have only finitely many (α,T)-uniform sinks. This is a generalized version of a theorem of Liao

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