摘要
考虑电阻-电容分路的约瑟夫森结的线性延时反馈控制,运用非线性动力学理论分析了受控系统平凡解的稳定性。研究表明随着参数的变化,系统的稳定平凡解将会通过Hopf分岔失稳产生周期解,数值仿真验证了理论结果。
In this paper a resistive-capacitive-shunted Josephson junction with linear delayed feedback is con-sidered. 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 and produce periodic solutions via Hopf bifurcation as control parameter varies. Finally the theoretical results are verified via numerical simulation.
出处
《东北电力大学学报》
2013年第6期37-40,共4页
Journal of Northeast Electric Power University
关键词
约瑟夫森结
线性延时
反馈控制
HOPF分岔
Josephson junction
Linear delayed
Feedback control
Hopf bifurcation.