Anti-control of chaos in rigid body motion
Anti-control of chaos in rigid body motion
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DOI：
10.1016/j.chaos.2003.12.034
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发表时间：
2004-08-01
影响因子：
7.8
通讯作者：
Lee, CI
中科院分区：
文献类型：
--
作者：
Chen, HK;Lee, CI
本文研究了刚体的混沌反控制问题。对于一定的反馈增益，刚体很容易产生混沌运动。讨论了基本的动力学行为，如对称性、不变性、耗散性和吸引子的存在性。给出了反馈增益变化时混沌系统的暂态行为。特别有趣的是，在适当的反馈增益下，混沌系统可以产生复杂的多涡卷混沌吸引子。最后证明了该系统可以与著名的Lorenz方程和Chen系统相联系。换言之，该系统可以很容易地显示著名的Lorenz方程和Chen系统的所有动力学行为。(C)2003爱思唯尔有限公司。保留所有权利。
Anti-control of chaos for a rigid body has been studied in the paper. For certain feedback gains, a rigid body can easily generate chaotic motion. Basic dynamical behaviors, such as symmetry, invariance, dissipativity and existence of attractor, are also discussed. The transient behaviors of the chaotic system have also been presented as the feedback gain changed. Of particular interesting is the fact that the chaotic system can generate a complex multi-scroll chaotic attractor under the appropriate feedback gains. Finally, it was shown that the system could be related to the famous Lorenz equations and Chen system. In other words, the system can easily display all the dynamical behaviors of the famous Lorenz equations and Chen system. (C) 2003 Elsevier Ltd. All rights reserved.