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A Farey tree organization of locking regions for simple circle maps |
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| Authors: | K M Brucks C Tresser |
| Institution: | Department of Mathematical Sciences, University of Wisconsin, Milwaukee, Wisconsin 53211 ; Thomas J. Watson Research Center, I.B.M., P.O. Box 218, Yorktown Heights, New York 10598 |
| Abstract: | Let  be a  circle endomorphism of degree one with exactly two critical points and negative Schwarzian derivative. Assume that there is no real number  such that  has a unique rotation number equal to  . Then the same holds true for any  such that  stands above  in the Farey tree and can be related to it by a path on the tree. |
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