论文信息 - A Farey tree organization of locking regions for simple circle maps

A Farey tree organization of locking regions for simple circle maps

Let f be a C3 circle endomorphism of degree one with exactly two critical points and negative Schwarzian derivative. Assume that there is no real number a such that f +a has a unique rotation number equal to p q . Then the same holds true for any p ′ q′ such that p q stands above p ′ q′ in the Farey tree and can be related to it by a path on the tree.

C. Tresser | C. Tresser | K. Brucks | K. Brucks

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