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о We pr”Бe that eБerД ”rie“table sАrface admits a“ ”rie“tati”“preserБi“g di e”m”rphism Вith ”“e saddle ”rbit. It disti“gАishes i“ pri“ciple the c”“sidered class ”f sДstems fr”m s”Аrce-si“k di e”m”rphisms eГisti“g ”“lД ”“ the sphere. It is sh”В“ that di e”m”rphisms Вith ”“e saddle ”rbit ”f a p”sitiБe tДpe ”“ a“Д sАrface haБe eГactlД three “”de ”rbits. We als” describe all p”ssible tДpes ”f peri”dic data f”r sАch di e”m”rphisms, a“d f”А“d f”rmАlas eГpressi“g peri”ds ”f s”Аrces Бia peri”ds ”f the si“k a“d the saddle. А іяо . є , є, є . 40 ’ . , , , є . є . : . , . , . , . , . . є . . , . . A c”mplete t”p”l”gical classi cati”“ ”f M”rse-Smale di e”m”rphisms ”“ sАrfaces: a ki“d ”f k“eadi“g the”rД i“ dime“si”“ tВ” . , . , . є , -

A calculation of periodic data of surface diffeomorphisms with one saddle orbit.