摘要
针对一类含无损传输线的约瑟夫森结无穷维电磁系统,运用行波理论推导了电压正向行波分量的Poincaré映射关系,并在此基础上建立了传输线沿线电压的离散映射模型。通过数值计算描绘了传输线沿线电压的空间振幅变化图和时空行为发展图,分析了系统的时空行为随参数变化的动态演化过程。结果表明在一定参数条件下,约瑟夫森结无穷维电磁系统中存在着周期和时空混沌等丰富的非线性动力学行为。
Considering a type of Josephson junction infinite-dimensional electromagnetic system with lossless transmission line,a Poincaré map for the forward traveling voltage wave was derived by adopting the traveling wave theory.On this basis,the discrete-time map model of voltage along the transmission line was also established.Space-amplitude plots and space-time diagrams of voltage along the transmission line were obtained through numerical simulation and the dynamic evolutive process of the spatiotemporal behaviors in the system was analyzed.Numerical results show that rich nonlinear dynamical behaviors,such as period and spatiotemporal chaos,exist in the Josephson junction infinite-dimensional electromagnetic system under certain parametric condition.
出处
《低温与超导》
CAS
CSCD
北大核心
2010年第10期23-27,76,共6页
Cryogenics and Superconductivity
基金
国家高技术研究发展计划项目(2008AAJ225)资助
关键词
约瑟夫森结
无穷维系统
离散映射
时空混沌
Josephson junction
infinite-dimensional system
discrete-time map
spatiotemporal chaos.
