Bifurcation Control for a Class of Lorenz-like Systems
Bifurcation Control for a Class of Lorenz-like Systems
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DOI：
10.1142/s0218127411030003
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发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
P. Yu;Jinhu Lu
中科院分区：
文献类型：
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作者：
P. Yu;Jinhu Lu
在本文中，一个控制方法被用来考虑控制一类Lorenz类系统的分岔。特别关注的是通过线性和非线性稳定性分析的Hopf分岔控制。详细研究了Lorenz系统、Chen系统和Lu系统。简单的反馈控制被设计用于控制平衡解、极限环和混沌运动的稳定性。所有的公式推导出一般形式，包括系统参数。计算机模拟结果证实了分析预测。
In this paper, a control method developed earlier is employed to consider controlling bifurcations in a class of Lorenz-like systems. Particular attention is focused on Hopf bifurcation control via linear and nonlinear stability analyses. The Lorenz system, Chen system and Lu system are studied in detail. Simple feedback controls are designed for controlling the stability of equilibrium solutions, limit cycles and chaotic motions. All formulas are derived in general forms including the system parameters. Computer simulation results are presented to confirm the analytical predictions.