Huygens' synchronization: experiments, modeling, and local stability analysis

F.N. Hoogeboom, A.Y. Pogromsky, H. Nijmeijer

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)
23 Downloads (Pure)

Abstract

The synchronization of two metronomes on a freely moving platform is examined. Existence and local stability of the synchronized solutions is studied when the platform parameters are subject to change, i.e., a numerical continuation and bifurcation software tool is used to reveal local stability of the in-and/or anti-phase synchronized state as function of system parameters. It is demonstrated that the platform parameter values have a significant influence on the stability of the anti-phase synchronized solution.

Original languageEnglish
Pages (from-to)146-151
Number of pages6
JournalIFAC-PapersOnLine
Volume48
Issue number18
DOIs
Publication statusPublished - 1 Nov 2015
Event4th IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2015) - Tokyo, Japan
Duration: 26 Aug 201528 Aug 2015
Conference number: 4
http://ctrl.mech.se.tmu.ac.jp/chaos2015/
http://ctrl.mech.se.tmu.ac.jp/chaos2015/

Keywords

  • Mechanical systems
  • Nonlinear systems
  • Stability analysis
  • Synchronization

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