On the conjugation of piecewise smooth circle homeomorphisms with a finite number of break points
| Autor: | Dieter Mayer, Akhtam Dzhalilov, Utkir Safarov |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Nonlinearity. 28:2441-2459 |
| ISSN: | 1361-6544 0951-7715 |
| DOI: | 10.1088/0951-7715/28/7/2441 |
| Popis: | Let fi, i = 1, 2, be orientation preserving circle homeomorphisms with a finite number of break points , at which the first derivatives Dfi have jumps, and whose irrational rotation numbers coincide. Denote by the jump ratio of fi at a break point and by its total jump ratio, given by the product of the jump ratios over all break points .We prove that, for two such circle homeomorphisms fi, i = 1, 2, which on each interval of continuity of Dfi are C2+e, e > 0, and whose total jump ratios and do not coincide, the map h conjugating f1 and f2 is a singular function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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