Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators

R. Meucci, S. Euzzor, E. Pugliese, S. Zambrano, M. R. Gallas, J. A C Gallas

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms of a Duffing oscillator. Using a real-time analog indicator able to discriminate on-the-fly periodic behaviors from chaos, we reconstruct experimentally the phase versus perturbation strength stability areas when periodic perturbations are applied to different terms governing the oscillator. We verify the system to be more sensitive to perturbations applied to the quadratic term of the double-well Duffing oscillator and to the quartic term of the single-well Duffing oscillator.

Original languageEnglish
Article number044101
JournalPhysical Review Letters
Volume116
Issue number4
DOIs
Publication statusPublished - Jan 26 2016

Fingerprint

phase control
oscillators
perturbation
chaos
analogs
harmonics
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Meucci, R., Euzzor, S., Pugliese, E., Zambrano, S., Gallas, M. R., & Gallas, J. A. C. (2016). Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators. Physical Review Letters, 116(4), [044101]. https://doi.org/10.1103/PhysRevLett.116.044101

Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators. / Meucci, R.; Euzzor, S.; Pugliese, E.; Zambrano, S.; Gallas, M. R.; Gallas, J. A C.

In: Physical Review Letters, Vol. 116, No. 4, 044101, 26.01.2016.

Research output: Contribution to journalArticle

Meucci, R. ; Euzzor, S. ; Pugliese, E. ; Zambrano, S. ; Gallas, M. R. ; Gallas, J. A C. / Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators. In: Physical Review Letters. 2016 ; Vol. 116, No. 4.
@article{d416207bf2194d5fb404a7d5d88413c3,
title = "Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators",
abstract = "Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms of a Duffing oscillator. Using a real-time analog indicator able to discriminate on-the-fly periodic behaviors from chaos, we reconstruct experimentally the phase versus perturbation strength stability areas when periodic perturbations are applied to different terms governing the oscillator. We verify the system to be more sensitive to perturbations applied to the quadratic term of the double-well Duffing oscillator and to the quartic term of the single-well Duffing oscillator.",
author = "R. Meucci and S. Euzzor and E. Pugliese and S. Zambrano and Gallas, {M. R.} and Gallas, {J. A C}",
year = "2016",
month = "1",
day = "26",
doi = "10.1103/PhysRevLett.116.044101",
language = "English",
volume = "116",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators

AU - Meucci, R.

AU - Euzzor, S.

AU - Pugliese, E.

AU - Zambrano, S.

AU - Gallas, M. R.

AU - Gallas, J. A C

PY - 2016/1/26

Y1 - 2016/1/26

N2 - Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms of a Duffing oscillator. Using a real-time analog indicator able to discriminate on-the-fly periodic behaviors from chaos, we reconstruct experimentally the phase versus perturbation strength stability areas when periodic perturbations are applied to different terms governing the oscillator. We verify the system to be more sensitive to perturbations applied to the quadratic term of the double-well Duffing oscillator and to the quartic term of the single-well Duffing oscillator.

AB - Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms of a Duffing oscillator. Using a real-time analog indicator able to discriminate on-the-fly periodic behaviors from chaos, we reconstruct experimentally the phase versus perturbation strength stability areas when periodic perturbations are applied to different terms governing the oscillator. We verify the system to be more sensitive to perturbations applied to the quadratic term of the double-well Duffing oscillator and to the quartic term of the single-well Duffing oscillator.

UR - http://www.scopus.com/inward/record.url?scp=84957894652&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957894652&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.116.044101

DO - 10.1103/PhysRevLett.116.044101

M3 - Article

AN - SCOPUS:84957894652

VL - 116

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 4

M1 - 044101

ER -