Numerical and experimental exploration of phase control of chaos

Samuel Zambrano, Enrico Allaria, Stefano Brugioni, Immaculada Leyva, Riccardo Meucci, Miguel A F Sanjuán, Fortunato T. Arecchi

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A well-known method to suppress chaos in a periodically forced chaotic system is to add a harmonic perturbation. The phase control of chaos scheme uses the phase difference between a small added harmonic perturbation and the main driving to suppress chaos, leading the system to different periodic orbits. Using the Duffing oscillator as a paradigm, we present here an in-depth study of this technique. A thorough numerical exploration has been made focused in the important role played by the phase, from which new interesting patterns in parameter space have appeared. On the other hand, our novel experimental implementation of phase control in an electronic circuit confirms both the well-known features of this method and the new ones detected numerically. All this may help in future implementations of phase control of chaos, which is globally confirmed here to be robust and easy to implement experimentally.

Original languageEnglish
Article number013111
JournalChaos (Woodbury, N.Y.)
Volume16
Issue number1
DOIs
Publication statusPublished - 2006

Fingerprint

Control of Chaos
Phase control
phase control
Chaos theory
chaos
Chaos
Harmonic
Perturbation
harmonics
perturbation
Duffing Oscillator
Chaotic systems
Phase Difference
Chaotic System
Periodic Orbits
Parameter Space
Orbits
Paradigm
oscillators
Electronics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Zambrano, S., Allaria, E., Brugioni, S., Leyva, I., Meucci, R., Sanjuán, M. A. F., & Arecchi, F. T. (2006). Numerical and experimental exploration of phase control of chaos. Chaos (Woodbury, N.Y.), 16(1), [013111]. https://doi.org/10.1063/1.2161437

Numerical and experimental exploration of phase control of chaos. / Zambrano, Samuel; Allaria, Enrico; Brugioni, Stefano; Leyva, Immaculada; Meucci, Riccardo; Sanjuán, Miguel A F; Arecchi, Fortunato T.

In: Chaos (Woodbury, N.Y.), Vol. 16, No. 1, 013111, 2006.

Research output: Contribution to journalArticle

Zambrano, S, Allaria, E, Brugioni, S, Leyva, I, Meucci, R, Sanjuán, MAF & Arecchi, FT 2006, 'Numerical and experimental exploration of phase control of chaos', Chaos (Woodbury, N.Y.), vol. 16, no. 1, 013111. https://doi.org/10.1063/1.2161437
Zambrano S, Allaria E, Brugioni S, Leyva I, Meucci R, Sanjuán MAF et al. Numerical and experimental exploration of phase control of chaos. Chaos (Woodbury, N.Y.). 2006;16(1). 013111. https://doi.org/10.1063/1.2161437
Zambrano, Samuel ; Allaria, Enrico ; Brugioni, Stefano ; Leyva, Immaculada ; Meucci, Riccardo ; Sanjuán, Miguel A F ; Arecchi, Fortunato T. / Numerical and experimental exploration of phase control of chaos. In: Chaos (Woodbury, N.Y.). 2006 ; Vol. 16, No. 1.
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