Advertisement

The European Physical Journal Special Topics

, Volume 226, Issue 9, pp 1785–1790 | Cite as

Exploring phase control with square pulsed perturbations

  • F. T. Arecchi
  • S. Euzzor
  • M. R. Gallas
  • J. A. C. Gallas
  • R. Meucci
  • E. Pugliese
  • S. Zambrano
Regular Article
Part of the following topical collections:
  1. Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications

Abstract

We discuss the phase control technique consisting of an applied square pulsed periodic perturbation. We explore the effect of such perturbations to the different terms of the Duffing oscillator. We find that the effect depends sensitively on how the perturbation is applied, indeed, it is specially effective when it modulates the cubic and the linear term and uneffective when applied to the driving term. Our results highlight the highly nontrivial role of the phase when applying a second periodic perturbation to a chaotic system.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    R. Lima, M. Pettini, Phys. Rev. A 41, 726 (1990)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    R. Meucci, W. Gadomski, M. Ciofini, F.T. Arecchi, Phys. Rev. E 49, R2528 (1994)ADSCrossRefGoogle Scholar
  4. 4.
    Z. Qu, G. Hu, G. Yang, G. Qin, Phys. Rev. Lett. 74, 1736 (1995)ADSCrossRefGoogle Scholar
  5. 5.
    S. Zambrano, E. Allaria, S. Brugioni, I. Leyva, R. Meucci, M.A.F Sanjuán, F.T. Arecchi, Chaos 1, 013111 (2006)ADSCrossRefGoogle Scholar
  6. 6.
    S. Zambrano, I.P. Mariño, F. Salvadori, R. Meucci, M.A.F. Sanjuán, F.T. Arecchi, Phys. Rev. E 74, 016202 (2006)ADSCrossRefGoogle Scholar
  7. 7.
    S. Zambrano, J.M. Seoane, I.P. Mariño, M.A.F. Sanjuán, S. Euzzor, R. Meucci, F.T. Arecchi, New J. Phys. 10, 073030 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    J.M. Seoane, S. Zambrano, S. Euzzor, R. Meucci, F.T. Arecchi, M.A.F. Sanjuán, Phys. Rev. E 78, 016205 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    R. Meucci, S. Euzzor, E. Pugliese, S. Zambrano, M.R. Gallas, J.A.C. Gallas, Phys. Rev. Lett. 116, 044101 (2016)ADSCrossRefGoogle Scholar
  10. 10.
    R. Meucci, S. Euzzor, S. Zambrano, E. Pugliese, F. Francini, F.T. Arecchi, Phys. Lett. A 381, 82 (2017)ADSCrossRefGoogle Scholar
  11. 11.
    A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Physica D 16, 285 (1985)ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    A. Garfinkel, M.L. Spano, W.L. Ditto, J. N. Weiss, Science 257, 1230 (1992)ADSCrossRefGoogle Scholar
  13. 13.
    S.J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano, W. L. Ditto. Nature 370, 615 (1994)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • F. T. Arecchi
    • 1
    • 6
  • S. Euzzor
    • 1
  • M. R. Gallas
    • 2
    • 3
    • 4
  • J. A. C. Gallas
    • 2
    • 3
    • 4
  • R. Meucci
    • 1
  • E. Pugliese
    • 1
  • S. Zambrano
    • 5
  1. 1.Istituto Nazionale di Ottica, Consiglio Nazionale delle RicercheFirenzeItaly
  2. 2.Departamento de Fisica, Universidade Federal da ParaibaJoao PessoaBrazil
  3. 3.Instituto de Altos Estudos da ParaibaJoao PessoaBrazil
  4. 4.Complexity Sciences CenterSurfsideUSA
  5. 5.Università Vita Salute San RaffaeleMilanoItaly
  6. 6.Università di FirenzeFirenzeItaly

Personalised recommendations