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可视化分析非线性强迫振动的混沌现象
Visualization-Based Analysis of Dynamic Property of Chaos in Nonlinear Forced Vibration
【摘要】 分析可视化建模的方法和特点 ,应用可视化语言编制非线性强迫振动方程运动轨迹的分析软件 ,使该类方程在相空间的轨线图、Poincar埁截面图、振动时程曲线图和幅频图动态地显示出来 .通过计算机仿真分析 ,可以动态地观察到运动轨迹出现混沌现象 ,便于全面分析混沌运动特征 .
【Abstract】 A software is developed in a visualized computer language for analysis of the trajectory of movement of the nonlinear forced vibration equation. With the software, the trajectories of equations of such a type in phase space, the Poincarè image, the time amplitude curve, and the amplitude frequency curve can be shown dynamically. Based on computer simulation, the dynamic property of chaos can be generally analyzed.
【关键词】 可视化;
混沌;
计算机仿真;
Duffing方程;
【Key words】 visualization; chaos; computer simulation; Duffing equation;
【Key words】 visualization; chaos; computer simulation; Duffing equation;
- 【文献出处】 河海大学学报(自然科学版) ,Journal of Hehai University (Natural Sciences ) , 编辑部邮箱 ,2002年03期
- 【分类号】O322
- 【被引频次】7
- 【下载频次】92