ON MORSE CONJECTURE OF METRIC TRANSITIVITY
摘要
It is known that metric transitivity implies topological transitivity. But, the converseremains to be an open question. In 1946 and 1973, M. Morse made a conjecture that thisconverse theorem was probably true for analytic systems or systems with some degree ofanalytic regularity. In this paper, we disprove the Morse' conjecture for almost every-where analytic C~(∞)-flows on n-dimensional manifolds (n≥2), and prove the validity of theMorse conjecture for analytic flows on T~2.
引用本文（GB/T 7714）
Ting Ding. ON MORSE CONJECTURE OF METRIC TRANSITIVITY[J]. 未知来源, 1991.
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