Stabilities in multi-valued dynamical systems
โ Scribed by Jong-Suh Park; Dong Seung Kang; Hahng-Yun Chu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 253 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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.
In this paper, we introduce a new concept called 'a pair of coincident invariant measures' and establish the existence of coincident invariant measures for set-valued dynamical systems, As applications, we first give the existence of minimal invariant measures (see definition below) for a set-valued