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Poincare's recurrence theorems for set-valued dynamical systems

โœ Scribed by E. Tarafdar; P. Watson; X.-Z. Yuan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
695 KB
Volume
10
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 mapping, and then set-valued versions of Poincare's recurrence theorems are also derived.

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