دورية أكاديمية
Scrambled Sets for Transitive Maps
| العنوان: | Scrambled Sets for Transitive Maps |
|---|---|
| المؤلفون: | Lampart, Marek |
| بيانات النشر: | Michigan State University Press |
| سنة النشر: | 2001 |
| المجموعة: | Project Euclid (Cornell University Library) |
| مصطلحات موضوعية: | LY-chaos, $\omega$-chaos, scrambled sets, transitive maps, 26A18, 37D45, 37E05, 54H20, 26A30 |
| الوصف: | We deal with two types of chaos: the well known chaos in the sense of Li and Yorke and $\omega$-chaos which was introduced by S. Li in 1993. In this paper we prove that every bitransitive map $f \in C(I,I)$ is conjugate to $g \in C(I,I)$, which satisfies the following conditions, ¶ 1. there is a $c$-dense $\omega$-scrambled set for $g$, ¶ 2. there is an extremely LY-scrambled set for $g$ with full Lebesgue measure, ¶ 3. every $\omega$-scrambled set of $g$ has zero Lebesgue measure. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| ردمك: | 978-1-212-41287-4 1-212-41287-7 |
| تدمد: | 0147-1937 1930-1219 |
| العلاقة: | http://projecteuclid.org/euclid.rae/1212412877Test; Real Anal. Exchange 27, no. 2 (2001), 801-808 |
| الإتاحة: | http://projecteuclid.org/euclid.rae/1212412877Test |
| حقوق: | Copyright 2001 Michigan State University Press |
| رقم الانضمام: | edsbas.5E25EF47 |
| قاعدة البيانات: | BASE |
| ردمك: | 9781212412874 1212412877 |
|---|---|
| تدمد: | 01471937 19301219 |