Experimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators

L. Borkowski, P. Perlikowski, T. Kapitaniak, and A. Stefanski
Phys. Rev. E 91, 062906 – Published 8 June 2015

Abstract

The subject of the experimental research supported with numerical simulations presented in this paper is an analog electrical circuit representing the ring of unidirectionally coupled single-well Duffing oscillators. The research is concentrated on the existence of the stable three-frequency quasiperiodic attractor in this system. It is shown that such solution can be robustly stable in a wide range of parameters of the system under consideration in spite of a parameter mismatch which is unavoidable during experiment.

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  • Received 22 April 2014
  • Revised 27 December 2014

DOI:https://doi.org/10.1103/PhysRevE.91.062906

©2015 American Physical Society

Authors & Affiliations

L. Borkowski*, P. Perlikowski, T. Kapitaniak, and A. Stefanski§

  • Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland

  • *borek1111100@wp.pl
  • gimili@p.lodz.pl
  • tomaszka@p.lodz.pl
  • §steve@p.lodz.pl

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Issue

Vol. 91, Iss. 6 — June 2015

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