物理学报2011，Vol.60Issue(6)：46-52,7.
线性延时反馈Josephson结的Hopf分岔和混沌化
Hopf bifurcation and chaotification of Josephson junction with linear delayed feedback
摘要
Abstract
In this paper, a resistive-capacitive-shunted Josephson junction with linear delayed feedback is considered. The stability of trivial solution of the controlled system is analyzed using nonlinear dynamics theory, and the theoretical results show that the stable trivial solution of the system will lose its stability via Hopf bifurcation as control parameter varies. The critical parameter condition of Hopf bifurcation is also derived. Numerical analysis of the controlled system is carried out under different parameter conditions, and the results show that the stable periodic solution generated by supercritical Hopf bifurcation may transit to chaos gradually through a process of symmetry-breaking bifurcation and period-doubling bifurcation.关键词
约瑟夫森结/线性延时反馈/Hopf分岔/混沌Key words
Josephson junction/ linear delayed feedback/ Hopf bifurcation/ chaos引用本文复制引用
张立森,蔡理,冯朝文..线性延时反馈Josephson结的Hopf分岔和混沌化[J].物理学报,2011,60(6):46-52,7.基金项目
国家高技术研究发展计划(批准号:2008AAJ225)和空军工程大学研究生科技创新计划(批准号:Dx2010405)资助的课题. （批准号:2008AAJ225）
