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Kienitz, Karl Heinz (2005) On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems. Nonlinear Dynamics. ISSN 0924-090X.
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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".
| Item URL in elib: | https://elib.dlr.de/45611/ | ||||||
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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: | 2005 | ||||||
| Journal or Publication Title: | Nonlinear Dynamics | ||||||
| Refereed publication: | Yes | ||||||
| Open Access: | No | ||||||
| Gold Open Access: | No | ||||||
| In SCOPUS: | No | ||||||
| In ISI Web of Science: | Yes | ||||||
| ISSN: | 0924-090X | ||||||
| Status: | Published | ||||||
| Keywords: | describing functions, eigenvalues, limit cycles, Lyapunov equation, nonlinear systems, singular values, stability | ||||||
| HGF - Research field: | Aeronautics, Space and Transport (old) | ||||||
| HGF - Program: | Aeronautics | ||||||
| HGF - Program Themes: | Aircraft Research (old) | ||||||
| DLR - Research area: | Aeronautics | ||||||
| DLR - Program: | L AR - Aircraft Research | ||||||
| DLR - Research theme (Project): | L - Flexible Aircraft (old) | ||||||
| Location: | Oberpfaffenhofen | ||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | ||||||
| Deposited By: | Klauer, Monika | ||||||
| Deposited On: | 20 Sep 2007 | ||||||
| Last Modified: | 27 Apr 2009 13:15 |
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