| 对称双弹簧振子受迫、有阻尼横振动的混沌行为 |
| |
| 引用本文： | 王立明,刘景旺.对称双弹簧振子受迫、有阻尼横振动的混沌行为[J].大学物理,2008,27(10). |
| |
| 作者姓名： | 王立明 刘景旺 |
| |
| 作者单位： | 1. 廊坊师范学院,物理系,河北,廊坊,065000
2. 北华航天工业学院,基础部,河北,廊坊,065000 |
| |
| 基金项目： | 廊坊师范学院校科研和教改项目，廊坊市科技局科研基金 |
| |
| 摘 要： | 对受周期外力驱动的对称双弹簧振子进行了研究,建立了系统的动力学方程,用线性稳定性分析方法讨论了平衡点附近邻域的稳定性,利用数值计算并结合多种分析方法,求解非线性方程和判断解的性质.通过改变系统参数,画出时域图、相图及分岔图等.计算分析和数值实验发现,这个简单的力学系统存在十分丰富的动力学行为(分岔、混沌).理论分析和数值实验结果一致.
|
| 关 键 词： | 龙格-库塔法 混沌 分岔 相图 Poincare映像 |
The chaos character of forced and damped transverse oscillation of a symmetric double-spring oscillator |
| |
| WANG Li-ming,LIU Jing-wang.The chaos character of forced and damped transverse oscillation of a symmetric double-spring oscillator[J].College Physics,2008,27(10). |
| |
| Authors: | WANG Li-ming LIU Jing-wang |
| |
| Abstract: | The model of forced and damped transverse oscillation of a symmetric double-spring oscillator is designed and its dynamical equation is proposed.By using the method of linear stability analysis,the stability of the system is discussed in the neighborhood of the equilibrium point.The character of the solution can be obtained by numerical simulation and other analysis methods.Time-series diagram,phase diagram and bifurcation diagram for the oscillation of this system are plotted.These results show that there are various kinds of dynamical phenomena.Theoretical analysis is in agreement with numerical simulation. |
| |
| Keywords: | Runge-Kutta method chaos bifurcation phase diagram Poincare mapping diagram |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
