Pfante, OliverOliverPfanteAy, NihatNihatAy2022-12-012022-12-012015-01-01Discontinuity, Nonlinearity, and Complexity 4 (1): 91-109 (2015-01-01)http://hdl.handle.net/11420/14228A 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.en2164-6376An interdisciplinary journal of discontinuity, nonlinearity, and complexity2015191109L & H Scientific Publ.Closed sub-dynamicsOperator theorySigma algebrasMathematikOperator-theoretic identification of closed sub-systems of dynamical systemsJournal Article10.5890/DNC.2015.03.007Other