Renormalization of circle maps and smoothness of Arnold tongues Institutional Repository Document uri icon

abstract

  • We study the global behavior of the renormalization operator on a specially constructed Banach manifold that has cubic critical circle maps on its boundary and circle diffeomorphisms in its interior. As an application, we prove results on smoothness of irrational Arnold tongues.

author list (cited authors)

  • Goncharuk, N., & Yampolsky, M.

citation count

  • 0

complete list of authors

  • Goncharuk, Nataliya||Yampolsky, Michael

Book Title

  • arXiv

publication date

  • July 2023