Controlling Chaos in Josephson-Junction Using Nonlinear Backstepping Controller

Author

Harb, Ahmad M. ; Harb, Bassam A.

Author_Institution

Dept. of Electr. Eng., Jordan Univ. of Sci. & Technol., Irbid

Volume

16

Issue

4

fYear

2006

Firstpage

1988

Lastpage

1998

Abstract

In this paper, a nonlinear backstepping controller has been designed to control bifurcation as well as incipient chaos that has been experienced in the RCLSJ (shunted nonlinear resistive-capacitive-inductance) Josephson-Junction. The results show that the system, without controller, has a dangerous Hopf bifurcation point that lead to chaotic behavior. For certain values of the external direct current (I₀), the system becomes chaotic. On the other hand, the nonlinear backstepping controller converts the chaotic region into a stable periodic solution region

Keywords

bifurcation; chaos; superconducting junction devices; Hopf bifurcation point; chaotic behavior; controlling chaos; external direct current; incipient chaos; nonlinear backstepping controller; shunted nonlinear resistive-capacitive-inductance Josephson-junction; stable periodic solution region; Backstepping; Bifurcation; Chaos; Control systems; Helium; Insulation; Josephson junctions; Parameter estimation; Superconducting materials; Voltage; Chaos theory; Josephson-Junction; nonlinear backstepping controller;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/TASC.2006.881811

Filename

4020342