On quasi-symmetry of conjugacies between critical circle maps with break points

Sokhobiddin Akhatkulov, Mohd. Salmi Md. Noorani, Akhtam Dzhalilov, Habibulla Akhadkulov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We prove that a critical circle homeomorphism with infinite number break points without periodic orbits is conjugated to the linear rotation by a quasi-symmetric map if and only if its rotation number is of bounded type.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages744-748
Number of pages5
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

symmetry
orbits

Keywords

  • break point
  • Circle homeomorphism
  • conjugation map
  • rotation number

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Akhatkulov, S., Md. Noorani, M. S., Dzhalilov, A., & Akhadkulov, H. (2014). On quasi-symmetry of conjugacies between critical circle maps with break points. In AIP Conference Proceedings (Vol. 1602, pp. 744-748). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882568

On quasi-symmetry of conjugacies between critical circle maps with break points. / Akhatkulov, Sokhobiddin; Md. Noorani, Mohd. Salmi; Dzhalilov, Akhtam; Akhadkulov, Habibulla.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 744-748.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Akhatkulov, S, Md. Noorani, MS, Dzhalilov, A & Akhadkulov, H 2014, On quasi-symmetry of conjugacies between critical circle maps with break points. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 744-748, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882568
Akhatkulov S, Md. Noorani MS, Dzhalilov A, Akhadkulov H. On quasi-symmetry of conjugacies between critical circle maps with break points. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 744-748 https://doi.org/10.1063/1.4882568
Akhatkulov, Sokhobiddin ; Md. Noorani, Mohd. Salmi ; Dzhalilov, Akhtam ; Akhadkulov, Habibulla. / On quasi-symmetry of conjugacies between critical circle maps with break points. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 744-748
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