Topological dynamics of two-piece eventually expanding maps

✍ Scribed by Youngna Choi

• Book ID: 104000466
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 220 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.10.022

✦ Synopsis

In this work we show that two-piece eventually expanding maps have the same topological dynamics as two-piece expanding maps. A two-piece eventually expanding map possesses an invariant set that is either a topological attractor or can be perturbed to become one.