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Operator-theoretic identification of closed sub-systems of dynamical systems
Publikationstyp
Journal Article
Date Issued
2015-01-01
Sprache
English
Author(s)
Ay, Nihat
Volume
4
Issue
1
Start Page
91
End Page
109
Citation
Discontinuity, Nonlinearity, and Complexity 4 (1): 91-109 (2015-01-01)
Publisher DOI
Scopus ID
Publisher
L & H Scientific Publ.
A central problem of dynamical systems theory is to identify a reduced description of the dynamical process one can deal easier. In this paper we present a systematic method of identifying those closed sub-systems of a given discrete time dynamical system in the frame of operator theory. It is shown that this problem is closely related to finding invariant sigma algebras of the dynamics.
Subjects
Closed sub-dynamics
Operator theory
Sigma algebras
DDC Class
510: Mathematik