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Global bifurcations in the motion of parametrically excited thin plates

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Abstract

In this paper we investigate global bifurcations in the motion of parametrically excited, damped thin plates. Using new mathematical results by Kovačič and Wiggins in finding homoclinic and heteroclinic orbits to fixed points that are created in a resonance resulting from perturbation, we are able to obtain explicit conditions under which Silnikov homoclinic orbits occur. Furthermore, we confirm our theoretical predictions by numerical simulations.

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Authors and Affiliations

  1. Department of Chemical and Nuclear Engineering, University of California, 93106, Santa Barbara, CA, U.S.A.

    Z. C. Feng

  2. Department of Aerospace Engineering and Mechanics, University of Minnesota, 55455, Minneapolis, MN, U.S.A.

    P. R. Sethna (Visiting Professor at University of Pisa, Italy)

Authors
  1. Z. C. Feng
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  2. P. R. Sethna
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Feng, Z.C., Sethna, P.R. Global bifurcations in the motion of parametrically excited thin plates. Nonlinear Dyn 4, 389–408 (1993). https://doi.org/10.1007/BF00120673

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  • DOI: https://doi.org/10.1007/BF00120673

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