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Nonstationary response near generic bifurcations

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Abstract

We consider in this paper nonstationary response near generic bifurcations of equilibria under one control parameter. The bifurcations treated are the transcritical, super- and subcritical Hopf, and the fold all in their simplest, generic normal forms. The nonstationary is generated by varying the control parameter, either linearly or sinusoidally. Exact analytical solutions are obtained, and local and global stability is discussed

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of New Brunswick, P.O. Box 4400, E3B 5A3, Fredericton, New Brunswick, Canada

    Huw G. Davies & Rangavajhula Krishna

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  1. Huw G. Davies
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  2. Rangavajhula Krishna
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Davies, H.G., Krishna, R. Nonstationary response near generic bifurcations. Nonlinear Dyn 10, 235–250 (1996). https://doi.org/10.1007/BF00045105

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  • DOI: https://doi.org/10.1007/BF00045105

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