Pendulum's rotational motion governed by a stochastic Mathieu equation

D. Yurchenko*, A. Naess, P. Alevras

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.

Original languageEnglish
Pages (from-to)12-18
Number of pages7
JournalProbabilistic Engineering Mechanics
Early online date8 Nov 2012
Publication statusPublished - 1 Jan 2013


  • Instability domain
  • Mathieu equation
  • Narrowband parametric excitation
  • Probability density function
  • Rotational motion
  • Wave energy converter

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Civil and Structural Engineering
  • Nuclear Energy and Engineering
  • Condensed Matter Physics
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering


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