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Adaptive Synchronization of Chaotic Systems considering Performance Parameters of Operational Amplifiers

Author

Listed:
  • Sergio Ruíz-Hernández
  • Eduardo Ortega-Torres
  • Carlos Sánchez-López
  • Miguel Angel Carrasco-Aguilar
  • Rocio Ochoa-Montiel
  • Rocio Ilhuicatzi-Roldán
  • Marco Antonio Taneco-Hernández

Abstract

This paper addresses an adaptive control approach for synchronizing two chaotic oscillators with saturated nonlinear function series as nonlinear functions. Mathematical models to characterize the behavior of the transmitter and receiver circuit were derived, including in the latter the adaptive control and taking into account, for both chaotic oscillators, the most influential performance parameters associated with operational amplifiers. Asymptotic stability of the full synchronization system is studied by using Lyapunov direct method. Theoretical derivations and related results are experimentally validated through implementations from commercially available devices. Finally, the full synchronization system can easily be reproducible at a low cost.

Suggested Citation

  • Sergio Ruíz-Hernández & Eduardo Ortega-Torres & Carlos Sánchez-López & Miguel Angel Carrasco-Aguilar & Rocio Ochoa-Montiel & Rocio Ilhuicatzi-Roldán & Marco Antonio Taneco-Hernández, 2015. "Adaptive Synchronization of Chaotic Systems considering Performance Parameters of Operational Amplifiers," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-8, May.
    • Handle: RePEc:hin:jnlamp:919654
    DOI: 10.1155/2015/919654
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