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This paper investigates the behavior of rotation numbers in quasiperiodically forced circle maps, demonstrating that rotation numbers are strictly monotonic when no p, q-invariant strips exist. The authors present two main theorems: Theorem A states that the rotation number is strictly monotone if no invariant strips are present, while Theorem B asserts that mode-locked maps have a closed annulus mapped into its own interior by some iterate. The findings extend to cases with rationally related rotation numb

Author

Kay Taiwo

Language

EN