Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Simultaneous linearization for commuting quasiperiodically forced circle diffeomorphisms


Authors: Jing Wang and Qi Zhou
Journal: Proc. Amer. Math. Soc. 141 (2013), 625-636
MSC (2010): Primary 37C15; Secondary 37C05
Published electronically: June 28, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: For commuting smooth quasiperiodically forced circle diffeomorphisms, we show that if the base frequencies and the fibred rotation numbers jointly satisfy some simultaneous Diophantine condition and if the diffeomorphisms are in some $ C^{\infty }$ neighborhood of the corresponding rotations, then they are simultaneously $ C^{\infty }$-linearizable.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 37C15, 37C05

Retrieve articles in all journals with MSC (2010): 37C15, 37C05


Additional Information

Jing Wang
Affiliation: Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
Email: jingwang018@gmail.com

Qi Zhou
Affiliation: Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
Email: qizhou628@gmail.com

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11357-7
PII: S 0002-9939(2012)11357-7
Received by editor(s): November 30, 2010
Received by editor(s) in revised form: July 10, 2011
Published electronically: June 28, 2012
Additional Notes: This work was supported by NNSF of China (Grant 10531050), NNSF of China (Grant 11031003), and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
Communicated by: Yingfei Yi
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.