| 一类含绝对值项的超混沌系统仿真研究 |
| |
| 引用本文： | 李春彪,高成月.一类含绝对值项的超混沌系统仿真研究[J].计算机仿真,2010,27(1):124-128. |
| |
| 作者姓名： | 李春彪 高成月 |
| |
| 作者单位： | 江苏省食品安全工程技术研究开发中心电源与系统部,江苏,南京,210007;江苏经贸职业技术学院机电工程系,江苏,南京,210007 |
| |
| 摘 要： | 通过对一种类Lorenz系统进行变形,利用非线性程度比较小的绝对值项替代平方项,并利用新的状态反馈控制器,构造得到含有两个绝对值项的超混沌系统。接着,对该系统进行详细的动力学行为分析,Lyapunov指数谱和分岔图仿真表明,当参数改变时系统能够在周期态、准周期态、混沌态与超混沌态之间转变。对设计的控制器使超混沌系统控制到平衡点,利用Lyapunov第二方法从理论上证明控制律的有效性,仿真结果与理论分析一致。利用绝对值项实现非线性化的方法,使超混沌系统便于实现线性变换,对进一步探索超混沌系统具有重要的意义。
|
| 关 键 词： | 绝对值项 相轨 李雅普诺夫指数谱 分岔图 |
Simulation of a Class of Hyperchaotic System Containing Absolute Terms |
| |
| LI Chun-biao,GAO Cheng-yue.Simulation of a Class of Hyperchaotic System Containing Absolute Terms[J].Computer Simulation,2010,27(1):124-128. |
| |
| Authors: | LI Chun-biao GAO Cheng-yue |
| |
| Affiliation: | 1.Department of Electric Source and System/a>;Jiangsu R&D Center of Food Safety Engineering Technology/a>;Nanjing Jiangsu 210007/a>;China/a>;2.Department of Electrical and Mechanical Engineering/a>;Jiangsu Institute of Economic & Trade Technology/a>;China |
| |
| Abstract: | A kind of Lorenz-like system is reformed,and controlled by state feedback controller where absolute term of less nonlinearity is substituted for multiplier.A new hyperchaotic system containing two absolute terms is so constructed in this paper.In succession,its dynamical behaviour is analysed in detail.Lyapunov exponent spectrum and bifurcation diagram simulation show that the new system can switch among abundant dynamical behaviours such as period,quasi-period,chaos,hyperchaos,and so on.Finally,a controlle... |
| |
| Keywords: | Absolute term Phase trajectory Lyapunov exponent spectrum Bifurcation diagram |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
