Analysis of oscillations in discontinuous lurie systems via lprs method

E. D. Akimova, I. M. Boiko, N. V. Kuznetsov, R. N. Mokaev

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

Original languageBritish English
Pages (from-to)177-181
Number of pages5
JournalVibroengineering Procedia
StatePublished - 1 Jun 2019
Event39th International Conference on Vibroengineering - St. Petersburg, Russian Federation
Duration: 25 Jun 201926 Jun 2019


  • Global stability
  • Harmonic balance method
  • Periodic oscillations


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