| 非光滑动力系统胞映射计算方法 |
| |
| 引用本文： | 李健,张思进.非光滑动力系统胞映射计算方法[J].固体力学学报,2007,28(1):93-96. |
| |
| 作者姓名： | 李健 张思进 |
| |
| 作者单位： | 湖南大学力学与航空航天学院,长沙,410082 |
| |
| 基金项目： | 国家自然科学基金(10402011)资助 |
| |
| 摘 要： | 针对非光滑动力学系统特点,在胞映射思想基础上,引入拉回积分等分析手段,得到了非光滑系统吸引子和吸引域的胞映射计算方法.并以一类碰振系统为例,给出了其吸引子和具有复杂分形边界的吸引域,并验证了该方法的有效性.
|
| 关 键 词： | 非光滑动力系统 胞映射 吸引子 吸引域 |
| 修稿时间： | 2006年3月10日 |
CELL-MAPPING COMPUTATION METHOD FOR NON-SMOOTH DYNAMICAL SYSTEMS |
| |
| Li Jian,Zhang Sijin.CELL-MAPPING COMPUTATION METHOD FOR NON-SMOOTH DYNAMICAL SYSTEMS[J].Acta Mechnica Solida Sinica,2007,28(1):93-96. |
| |
| Authors: | Li Jian Zhang Sijin |
| |
| Abstract: | In view of the characteristics of non-smooth dynamical systems,the pullback integral method is introduced into the impact process based on the cell-mapping method.The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated.Through the analysis of a nonlinear dynamical system with rigid constraints,coexistent attractors and domains of attraction with complicated fractal boundary are obtained.Compared with the phase portraits,the present results are validated to be reasonable. |
| |
| Keywords: | non-smooth dynamical system cell-mapping attractor domain of attraction |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
