基于系统变量的线性变换实现对Josephson结电路的混沌控制

Chaos control of circuit system with Josephson junction based on the linear transformation of system variables

研究了Josephson电路系统的复杂动力学行为.首先建立了系统的动力学方程,通过分岔图和相平面图分析了系统从周期到混沌的过程,然后运用基于系统变量的线性变换实现了对Josephson结电路的控制.结果表明,通过改变系统变量之间的线性变换矩阵,可以实现对Josephson结电路混沌运动的控制.

The complex dynamics characters of the Josephson junction circuit system are studied and the tunnel effect is considered. The dynamical equation of the system is established. By phase plane portraits and bifurcation diagram, the route from periodic motion to chaos is studied under the presented system parameters. The method of chaos control based on the linear and nonlinear transformation of system variables is constructed to control the chaos of the Josephson junction circuit system. The phase plane portraits and bifurcation diagram are obtained. The stable dynamical behavior orbits can be obtained when changing the linear transformation matrix of system variables.