物理学报2011，Vol.60Issue(3)：81-87,7.
约瑟夫森结中周期解及其稳定性的解析分析
Analytical analysis of periodic solution and its stability in Josephson junction
摘要
Abstract
Analytical expressions of periodic solutions in fi-biased resistively-capacitively-shunted Josephson junction were derived by incremental harmonic balance method, and the stability of the periodic solutions was investigated using Floquet theory. We fownd that while the system is in stable periodic states, plentiful unstable periodic orbits still exist in the system. Critical parameter values for which the stable periodic solutions of the system lose their stability are obtained and the type of bifurcation is determined by computing the Floquet multipliers. We have also theoretically confirmed the period-doubling-route to chaos with increasing amplitude of driving current, which acts as the control parameter in the system. The results from analytical analysis coincide with that from numerical simulation.关键词
约瑟夫森结/增量谐波平衡法/周期解/分岔Key words
Josephson junction/ incremental harmonic balance method/ periodic solution/ bifurcation引用本文复制引用
张立森,蔡理,冯朝文..约瑟夫森结中周期解及其稳定性的解析分析[J].物理学报,2011,60(3):81-87,7.基金项目
国家高技术研究发展计划(863)(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. （863）
