Global bifurcations in the motion of parametrically excited thin plates |
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| Authors: | Z C Feng P R Sethna |
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| Institution: | (1) Department of Chemical and Nuclear Engineering, University of California, 93106 Santa Barbara, CA, U.S.A.;(2) Department of Aerospace Engineering and Mechanics, University of Minnesota, 55455 Minneapolis, MN, U.S.A. |
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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 Kova i 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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| Keywords: | Plate bifurcation chaos homoclinic orbit |
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