ρ-bounded orbits and Arnold tongues for quasiperiodically forced circle maps*-Reference-Cited by-同舟云学术

ρ-bounded orbits and Arnold tongues for quasiperiodically forced circle maps*

Published:2022-01-18 Issue:3 Volume:35 Page:1119-1130
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Zhou Tong,Hu Wen-Juan,Huang Qi-Ming,Qin Wen-Xin

Abstract

Abstract For quasiperiodically forced (qpf) continuous circle maps with degree one, the set of fibred rotation numbers is a closed interval or a singleton. We show in this paper that if a number ρ is in the interior of this interval, then there exist ρ-bounded orbits. We also discuss extensions of the structure of Arnold tongues for qpf circle homeomorphisms to qpf continuous circle maps with degree one.

Funder

National Natural Science Foundation of China

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ac473d/pdf

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