Synchronous motion of two vertically excited planar elastic pendula

Marcin Tomasz Kapitaniak (Corresponding Author), Przemyslaw Perlikowski, Tomasz Kapitaniak

Research output: Contribution to journalArticle

13 Citations (Scopus)
5 Downloads (Pure)

Abstract

The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.
Original languageEnglish
Pages (from-to)2088-2096
Number of pages9
JournalCommunications in Nonlinear Science & Numerical Simulation
Volume18
Issue number8
Early online date7 Jan 2013
DOIs
Publication statusPublished - Aug 2013

Keywords

  • coupled oscillators
  • elastic pendulum
  • synchronization

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