Citation

J. Lu et Xd. Ye, Chaos in the sense of Li-Yorke and the order of the inverse limit space, CHIN SCI B, 44(11), 1999, pp. 988-992

Citations number

7

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Multidisciplinary

Journal title

CHINESE SCIENCE BULLETIN

ISSN journal

1001-6538
→ ACNP

Volume

44

Issue

11

Year of publication

1999

Pages

988 - 992

Database

ISI

SICI code

1001-6538(199906)44:11<988:CITSOL>2.0.ZU;2-2

Abstract

Let I = [0,1] and omega(0) be the first limit ordinal number. Assume that f
:I --> I is continuous, piece-wise monotone and the set of periods of f is
{2' : i is an element of {0} boolean OR N}. It is known that the order of (
I, f) is omega(0) or omega(0) + 1. It is shown that the order of the invers
e limit space (I, f) is omega(0) (resp. omega(0) + 1) if and only if f is n
ot (resp. is) chaotic in the sense of Li-Yorke.