Control and Synchronization of Chaos in RCL-Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term-Reference-Cited by-同舟云学术

Control and Synchronization of Chaos in RCL-Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chen Di-Yi¹²,Zhao Wei-Li¹,Ma Xiao-Yi¹,Zhang Run-Fan¹

Affiliation:

1. Department of Electrical Engineering, Northwest A&F University, Shaanxi, Yangling 712100, China

2. College of Mechanical and Electric Engineering, Northwest A&F University, Shaanxi, Yangling 712100, China

Abstract

This paper investigates the control and synchronization of the shunted nonlinear resistive-capacitive-inductance junction (RCLSJ) model under the condition of noise disturbance with only one single controller. Based on the sliding mode control method, the controller is designed to eliminate the chaotic behavior of Josephson junctions and realize the achievement of global asymptotic synchronization of coupled system. Numerical simulation results are presented to demonstrate the validity of the proposed method. The approach is simple and easy to implement and provides reference for chaos control and synchronization in relevant systems.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/378457.pdf

Reference39 articles.

1. Dynamics of coupled Josephson junctions under the influence of applied fields

2. Mode-locking, hysteresis and chaos in coupled Josephson junctions

3. Chaotic dynamics of resistively coupled DC-driven distinct Josephson junctions and the effects of circuit parameters