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Kienitz, Karl Heinz (2005) On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems. Nonlinear Dynamics. Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V..
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Abstract
In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” [Somieski, G., Nonlinear Dynamics 26(1), 2001, 3–22]. This contribution presents a novel and advantageous implementation of this method, using singular value instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called “frequency iteration”. Key words describing functions - eigenvalues
| Item URL in elib: | https://elib.dlr.de/21328/ | ||||||||
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| Document Type: | Article | ||||||||
| Title: | On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems | ||||||||
| Authors: |
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| Date: | December 2005 | ||||||||
| Journal or Publication Title: | Nonlinear Dynamics | ||||||||
| Open Access: | Yes | ||||||||
| Gold Open Access: | No | ||||||||
| In SCOPUS: | No | ||||||||
| In ISI Web of Science: | No | ||||||||
| Publisher: | Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V. | ||||||||
| Status: | Published | ||||||||
| Keywords: | describing functions - eigenvalues - limit cycles - Lyapunov equation - nonlinear systems - singular values - stability | ||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||
| HGF - Program: | Aeronautics | ||||||||
| HGF - Program Themes: | Aircraft Research (old) | ||||||||
| DLR - Research area: | Aeronautics | ||||||||
| DLR - Program: | L AR - Aircraft Research | ||||||||
| DLR - Research theme (Project): | L - Systems & Cabin (old) | ||||||||
| Location: | Oberpfaffenhofen | ||||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | ||||||||
| Deposited By: | Jaschinski, Astrid | ||||||||
| Deposited On: | 20 Sep 2007 | ||||||||
| Last Modified: | 31 Jul 2019 19:16 |
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