Synchronization of chaotic resonators based on control theory

T. C. Newell, P. M. Alsing, A. Gavrielides, V. Kovanis

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We have investigated experimentally and computationally a synchronization scheme, based on control theory, for the case of two nearly identical chaotic diode resonators. From the experimentally captured time series we calculate the required feedback factor and explain why this factor can also be approximated as a constant for the duration of its application. Both the calculated and constant feedback factors are implemented experimentally in order to synchronize two resonators. In addition, we observe that the application of the perturbing factor was only necessary when the resonator was in the unstable region of the attractor.

Original languageEnglish
Pages (from-to)2963-2973
Number of pages11
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume51
Issue number4
DOIs
Publication statusPublished - 1995
Externally publishedYes

Fingerprint

control theory
Resonator
Control Theory
synchronism
Synchronization
resonators
Diode
Attractor
Time series
Unstable
diodes
Calculate
Necessary

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Synchronization of chaotic resonators based on control theory. / Newell, T. C.; Alsing, P. M.; Gavrielides, A.; Kovanis, V.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 51, No. 4, 1995, p. 2963-2973.

Research output: Contribution to journalArticle

Newell, T. C. ; Alsing, P. M. ; Gavrielides, A. ; Kovanis, V. / Synchronization of chaotic resonators based on control theory. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 1995 ; Vol. 51, No. 4. pp. 2963-2973.
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