caa a22 4500 445361050 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9804-5 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9804-5 Exploring the qualitative behavior of uncertain dynamical systems [Elektronische Daten] A computational approach [Andreas Gaull, Edwin Kreuzer] The global behavior of uncertain nonlinear systems by means of the cell mapping method is investigated. The systems under consideration are governed by ordinary differential equations where uncertainty is characterized by a bounded stationary noise process. In order to make cell mapping methods applicable to this particular situation generalizations of the theory become necessary. The numerical approach is based on a reformulation of the dynamics in terms of a Markov process whose qualitative behavior is analyzed. We demonstrate the usefulness of the presented scheme in the engineering field while addressing an example problem from technical mechanics. Springer Science+Business Media B.V., 2010 Cell mapping nationallicence Nonlinear dynamical systems nationallicence Uncertainty nationallicence Colored noise nationallicence Transition operator nationallicence Ergodic decomposition nationallicence Gaull Andreas Mechanics and Ocean Engineering, Hamburg University of Technology, Hamburg, Germany aut Kreuzer Edwin Mechanics and Ocean Engineering, Hamburg University of Technology, Hamburg, Germany aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 285-310 0924-090X 63:1-2<285 2011 63 11071 https://doi.org/10.1007/s11071-010-9804-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9804-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gaull Andreas Mechanics and Ocean Engineering, Hamburg University of Technology, Hamburg, Germany aut NATIONALLICENCE 700 1- Kreuzer Edwin Mechanics and Ocean Engineering, Hamburg University of Technology, Hamburg, Germany aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 285-310 0924-090X 63:1-2<285 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer