Analysis of chaotic synchronization of cascade coupled systems for phase-locked loop using wavelet analysis

  • B. I. ShakhtarinEmail author
  • Yu. A. Sidorkina
  • A. V. Khodunin
Dynamics Chaos in Radiophysics and Electronics


A method for detection and study of chaotic synchronization of cascade coupled single ring continuous phase-locked-loop systems is based on the determination of the phase of chaotic signal using continuous wavelet transform and the subsequent monitoring of phases on time (frequency) scales. Morlet, Gauss, Shannon, and B-spline complex wavelets are studied. The results of mathematical simulation are presented. Signal-to-noise ratios that allow chaotic phase synchronization are estimated.


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Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  • B. I. Shakhtarin
    • 1
    Email author
  • Yu. A. Sidorkina
    • 1
  • A. V. Khodunin
    • 2
  1. 1.Bauman State Technical UniversityMoscowRussia
  2. 2.Demidov State UniversityYaroslavlRussia

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