2013/03/10 by Dawei Yang, Yong Zhang, Yang, Dawei +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS
paper · pdf · doi:10.48550/arxiv.1303.2319
arxiv created 2013/03/10 · arxiv updated 2013/03/12
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