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Symmetry breaking bifurcations of a parametrically excited pendulum

Publication ,  Journal Article
Mann, BP; Koplow, MA
Published in: Nonlinear Dynamics
December 1, 2006

This paper examines the bifurcation behavior of a planar pendulum subjected to high-frequency parametric excitation along a tilted angle. Parametric nonlinear identification is performed on the experimental system via an optimization approach that utilizes a developed approximate analytical solution. Experimental and theoretical efforts then consider the influence of a subtle tilt angle in the applied parametric excitation by contrasting the predicted and observed mean angle bifurcations with the bifurcations due to excitation applied in either the vertical or horizontal direction. Results show that small deviations from either a perfectly vertical or horizontal excitation will result in symmetry breaking bifurcations as opposed to pitchfork bifurcations. © Springer Science+Business Media, Inc. 2006.

Duke Scholars

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

December 1, 2006

Volume

46

Issue

4

Start / End Page

427 / 437

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Mann, B. P., & Koplow, M. A. (2006). Symmetry breaking bifurcations of a parametrically excited pendulum. Nonlinear Dynamics, 46(4), 427–437. https://doi.org/10.1007/s11071-006-9033-0
Mann, B. P., and M. A. Koplow. “Symmetry breaking bifurcations of a parametrically excited pendulum.” Nonlinear Dynamics 46, no. 4 (December 1, 2006): 427–37. https://doi.org/10.1007/s11071-006-9033-0.
Mann BP, Koplow MA. Symmetry breaking bifurcations of a parametrically excited pendulum. Nonlinear Dynamics. 2006 Dec 1;46(4):427–37.
Mann, B. P., and M. A. Koplow. “Symmetry breaking bifurcations of a parametrically excited pendulum.” Nonlinear Dynamics, vol. 46, no. 4, Dec. 2006, pp. 427–37. Scopus, doi:10.1007/s11071-006-9033-0.
Mann BP, Koplow MA. Symmetry breaking bifurcations of a parametrically excited pendulum. Nonlinear Dynamics. 2006 Dec 1;46(4):427–437.
Journal cover image

Published In

Nonlinear Dynamics

DOI

ISSN

0924-090X

Publication Date

December 1, 2006

Volume

46

Issue

4

Start / End Page

427 / 437

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 01 Mathematical Sciences