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On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems

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An Erratum to this article was published on 25 January 2007

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”.

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Authors and Affiliations

  1. Institute for Robotics and Mechatronics, German Aerospace Center, Postfach 1116, D-82230, Weßling, Germany

    Karl Heinz Kienitz

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  1. Karl Heinz Kienitz
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Correspondence to Karl Heinz Kienitz.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11071-006-9159-0.

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Kienitz, K.H. On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems. Nonlinear Dyn 45, 25–30 (2006). https://doi.org/10.1007/s11071-005-1435-x

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  • DOI: https://doi.org/10.1007/s11071-005-1435-x

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