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Control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design

Authors
Journal
Physica C Superconductivity
0921-4534
Publisher
Elsevier
Publication Date
Volume
468
Issue
5
Identifiers
DOI: 10.1016/j.physc.2007.11.012
Keywords
  • Josephson Junctions
  • Chaos
  • Synchronization
  • Control
  • Backstepping
Disciplines
  • Mathematics

Abstract

Abstract This paper investigates the control and synchronization of chaotic dynamics in RCL-shunted Josephson junctions based on backstepping nonlinear control theory. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the control. The method was employed to eliminate the chaotic behavior exhibited by the RCL-shunted Josephson junctions as well as to achieve global asymptotic synchronization between a drive-response RCLSJ system with different system parameters. Numerical simulations have been employed to verify the effectiveness of the control scheme; while the closed loop systems with the control are perfectly modeled using SIMULINK block.

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