PageHeader : Funkcialaj Ekvacioj, 11 (1968), 155?167 Title : Isolated Minimal Sets1) AuthorInfo : By Tosiya SAITO AuthorInfo : (University of Tokyo) section : 1. Introduction. section : 2. Definitions and notations. section : 3. Fundamental concepts. section : 4. Preliminary lemmas. section : 5. Fundamental facts about $a_{U}$ , $N^{+}U$ and $N^{-}U$ . Theorem 1. 1) $\overline{U}-F\neq N_{U}$ . 2) $\overline{U}-F\neq G_{U}$ . section : 6. Behavior of orbits near F. section : 7. Saddle minimal set and prolongational limit set. section : 8. Applications. section : References