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.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.91.062906 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
A ring generator of two- and three-frequency quasiperiodic self-oscillations based on the van der Pol oscillator.
Chaos
August 2021
Institute of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
In this work, we present a model of an autonomous three-mode ring generator based on the van der Pol oscillator, where periodic, two-frequency quasiperiodic, three-frequency quasiperiodic, and chaotic self-oscillations are observed. The transitions to chaos occur as a result of a sequence of torus doubling bifurcations. When the control parameters are varied, the resonant limit cycles appear on a two-dimensional torus, and two-dimensional tori appear on a three-dimensional torus as a result of synchronization.
View Article and Find Full Text PDFQuasiperiodic routes to chaos in confined two-dimensional differential convection.
Phys Rev E Stat Nonlin Soft Matter Phys
October 2015
LIMSI, CNRS, UPR3251, Université Paris-Sud, Université Paris-Saclay, F-91405 Orsay Cedex, France.
The complete cascade of bifurcations from steady to chaotic convection, as the Rayleigh number is varied, is considered numerically inside an air-filled differentially heated cavity. The system is assumed to be two-dimensional and is invariant under a generalized reflection about the center of the cavity. In the neighborhood of several codimension-two points, two main routes emerge, characterized by different symmetries of the first oscillatory eigenstate.
View Article and Find Full Text PDFExperimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators.
Phys Rev E Stat Nonlin Soft Matter Phys
June 2015
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland.
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.
View Article and Find Full Text PDFDynamic complexity in the electrochemical oxidation of thiourea.
J Phys Chem A
July 2008
College of Chemical Engineering, China University of Mining and Technology, Xuzhou, People's Republic of China.
We explored the temperature-dependent dynamics of the electrochemical oxidation of thiourea under potential-control mode and found complex oscillations with one large peak and one small peak per period. Adjusting the temperature caused the relative amplitudes and positions of the two peaks to vary. Experiments showed that there were two distinct oscillatory regimes as a function of the external current, and at some temperatures, three-frequency quasiperiodic oscillations occurred for current densities between the two oscillatory windows.
View Article and Find Full Text PDFStiff three-frequency orbit of the hydrogen atom.
Phys Rev E Stat Nonlin Soft Matter Phys
February 2006
Universidade Federal de São Carlos, Departamento de Física, Rodovia Washington Luis, km 235, Caixa Postal 676, São Carlos, São Paulo 13565-905, Brazil.
We study a stiff quasiperiodic orbit of the electromagnetic two-body problem of Dirac's electrodynamics of point charges. The delay equations of motion are expanded about circular orbits to obtain the variational equations up to nonlinear terms. The three-frequency orbit involves two harmonic modes of the variational dynamics with a period of the order of the time for light to travel the interparticle distance.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!