Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2759

Full Length Research Paper

Optimal homotopy asymptotic approach to nonlinear oscillators with discontinuities

V. Marinca
  • V. Marinca
  • Politehnica University of TimiÅŸoara, Romania.
  • Google Scholar
N. HeriÅŸanu
  • N. HeriÅŸanu
  • Center for Advanced and Fundamental Technical Research, Romanian Academy, Timisoara Branch, Romania.
  • Google Scholar

  •  Published: 31 January 2012


In this paper a version of the optimal homotopy asymptotic method (OHAM) has been proposed and applied to nonlinear oscillators with discontinuities. The main objective was to obtain highly accurate analytical solutions for a particularantisymmetric constant force oscillator using this new procedureThe proposed procedure proved to be very effective and accurate and did not require linearization or small parameters in the equation. It was found that OHAM works very well for whole range of initial amplitudes since an excellent agreement of the approximate frequencies and periodic solutions with the numerical ones has been demonstrated.


Key words: Nonlinear oscillators with discontinuities, minimal sensitivity, optimal homotopy asymptotic method.