欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究了一类非线性振荡电路系统的复杂动力学行为.基于基尔霍夫定律建立了一类非线性周期振荡电路的动力学方程.利用Poincaré映射图分析了系统混沌吸引子的特性,通过分岔图和Lyapunov指数谱揭示了此类系统由倍周期分岔通向混沌的过程,并且验证了该系统的分岔图与Lyapunov指数谱是完全吻合的.最后,通过非线性反馈控制方法对非线性电路系统中的混沌状态进行了有效的控制,结果表明,通过选取适宜的控制参数可以将系统控制到不同的稳定的周期轨道.
英文摘要：
The complex dynamics behavior of a class of nonlinear electrical oscillator described by Duffing＇s equation is studied. The dynamical equation of the system is established by using Kirchhoff＇s law. The characteristic of chaotic attractors of the system are analyzed by the Poincaré sections. Routes from doubling-periodic bifurcation to chaos are analyzed by the bifurcation diagram and Lyapunov exponents,and the Lyapunov exponents corresponded to bifurcation diagrams of the system are confirmed. A technique of non-linear feedback control approach to control chaos is to be given, which can switch the chaotic motion to the desired periodic orbits effectively. Based on the non-linear feedback control, the different stable periodic orbits are obtained by adjusting the feedback coefficients.
同期刊论文项目
同项目期刊论文
期刊信息
位置：