Translator Disclaimer
2011 Stability of Rotation Pairs of Cycles for the Interval Maps
Taixiang Sun, Hongjian Xi, Hailan Liang, Qiuli He, Xiaofeng Peng
Abstr. Appl. Anal. 2011(none): 1-9 (2011). DOI: 10.1155/2011/931484

Abstract

Let C 0 ( I ) be the set of all continuous self-maps of the closed interval I , and P ( u , v ) = { f C 0 ( I ) : f has a cycle with rotation pair ( u , v ) } for any positive integer v > u . In this paper, we prove that if ( 2 m n s , 2 m n t ) ( γ , λ ) , then P ( 2 m n s , 2 m n t ) int P ( γ , λ ) , where m 0 is integer, n 1 odd, 1 s < t with s , t coprime, and 1 γ < λ .

Citation

Download Citation

Taixiang Sun. Hongjian Xi. Hailan Liang. Qiuli He. Xiaofeng Peng. "Stability of Rotation Pairs of Cycles for the Interval Maps." Abstr. Appl. Anal. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/931484

Information

Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1209.33017
MathSciNet: MR2773643
Digital Object Identifier: 10.1155/2011/931484

Rights: Copyright © 2011 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2011 • 2011
Back to Top