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

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jun;91(6):062906. doi: 10.1103/PhysRevE.91.062906. Epub 2015 Jun 8.

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.