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Necessary and sufficient condition of C~0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property
IN this letter we discuss the necessary and sufficient condition of C° flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property. According to ref., on a closed surface, every minimal set of a C~r (r>= 2) flow is trivial, but it is possible for a C° flow to contain non-trivial minimal sets. Thus C flows on closed surfaces are more complicated than C~r (r>=2) flows.
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