| Adaptive synchronisation of fractional-order chaotic systems |
| |
| 作者姓名： | 张若洵 杨世平 |
| |
| 作者单位： | College of Physics Science and Information Engineering, Hebei Normal
University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016,
China;College of Elementary Education, Xingtai University, Xingtai
054001, Hebei Provin;College of Physics Science and Information Engineering, Hebei Normal
University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016,
China |
| |
| 基金项目： | Project supported by the Natural
Science Foundation of Hebei Province of China (Grant
No.~A2008000136). |
| |
| 摘 要： | A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.
|
| 关 键 词： | new stability theory fractional-order chaotic system adaptive synchronisation |
| 收稿时间： | 2009-06-30 |
Adaptive synchronisation of fractional-order chaotic systems |
| |
| Zhang Ruo-Xun and Yang Shi-Ping.Adaptive synchronisation of fractional-order chaotic systems[J].Chinese Physics B,2010,19(2):20510-020510. |
| |
| Authors: | Zhang Ruo-Xun and Yang Shi-Ping |
| |
| Institution: | College of Physics Science and Information Engineering, Hebei Normal
University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016,
China; College of Physics Science and Information Engineering, Hebei Normal
University, Shijiazhuang 050016, China;Hebei Advanced Thin Films Laboratory, Shijiazhuang 050016,
China;College of Elementary Education, Xingtai University, Xingtai
054001, Hebei Provin |
| |
| Abstract: | A new stability theory of nonlinear dynamic systems is
proposed, and a novel adaptive synchronisation method is presented
for fractional-order chaotic and hyperchaotic systems based on the
theory described in this paper. In comparison with previous methods,
not only is the present control scheme simple but also it employs
only one control strength, converges very fast, and it is also
suitable for a large class of fractional-order chaotic and
hyperchaotic systems. Moreover, this scheme is analytical and simple
to implement in practice. Numerical and circuit simulations are
used to validate and demonstrate the effectiveness of the method. |
| |
| Keywords: | new stability theory fractional-order chaotic system adaptive synchronisation |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
