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Global bifurcations in the motion of parametrically excited thin plates

✍ Scribed by Z. C. Feng; P. R. Sethna

Publisher: Springer Netherlands
Year: 1993
Tongue: English
Weight: 938 KB
Volume: 4
Category: Article
ISSN: 0924-090X
DOI: 10.1007/bf00120673

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✦ Synopsis

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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