两外强迫项Josephson系统的混沌与控制

Yanxiang Shi, Dingyong Bai
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摘要

本文研究了具有两外强迫项的Josephson系统。通过相图、势图、分岔图和极大Lyapunov指数等数值模拟,分析了两种外力条件下Josephson系统的非线性行为和复杂动力学。最后,采用三种方法控制混沌行为,有效地控制了稳定的周期轨道。
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Chaos and Control in Josephson system with two external forcing terms
In this paper, Josephson system with two external forcing terms is investigated. By applying numerical simulations, including phase portraits, potential diagram, bifurcation diagrams and maximal Lyapunov exponents, the nonlinear behavior and the complex dynamics in Josephson system with the two external forcing terms are analyzed. At last, three kinds of methods are applied to control the chaotic behaviors, effectively to stable periodic orbits.
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