Chain recurrence for multi-valued dynamical systems on noncompact spaces

✍ Scribed by Hahng-Yun Chu

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 186 KB
• Volume: 61
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.01.024

✦ Synopsis

It is well-known that the chain recurrence set of continuous map f is the complement of union of B(A) -A, where A is an attractor and B(A) is a basin of A. We prove that this result also holds when f is a compact-valued continuous relation.