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A PARAMETRICALLY FORCED NONLINEAR SYSTEM WITH REVERSIBLE EQUILIBRIA

R. WIEBE

Department of Civil and Environmental Engineering, Duke University, Box 90287 Hudson Hall, Durham NC, USA

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L. N. VIRGIN

Department of Mechanical Engineering and Materials Science, Duke University, Durham NC, USA

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, and

T. P. WITELSKI

Department of Mathematics, Duke University, Durham NC, USA

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https://doi.org/10.1142/S0218127412300200Cited by:1 (Source: Crossref)

Abstract

A nonlinear Duffing-type dynamical system, in which the stability of equilibria is modulated in a time-dependent manner, is investigated both experimentally and numerically. This is a low-order dynamical system with some interesting available choices in the coordinate system. The system is found to exhibit a variety of interesting nonlinear behavior including ultrasubharmonic resonance. Frequency content is used to characterize periodic and chaotic behavior and their relation to the parameter space.

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