基于重现理论的单摆系统非线性动力学特性研究RESEARCH ON NONLINEAR DYNAMIC CHARACTERISTICS OF SINGLE PENDULUM SYSTEM BASED ON RECURRENCE THEORY
王立媛
摘要(Abstract)：
本文利用分岔图、相图、重现图和重现量化等方法，研究了有阻尼、不同驱动力作用下单摆往复和旋转运动的非线性动力学特性。结果表明：重现图和重现量化测度能够辨识周期运动和混沌运动特征，随着驱动力的增加，单摆系统经历了由周期到混沌以及再由混沌到周期的演变过程，相图和重现图能够清晰展示系统运动轨线的时空分布，重现量化测度中熵和重现时间增加，而最大对角线长度减小，意味着系统复杂性和轨道分离速度增加。
关键词(KeyWords)： 单摆;分岔图;相图;重现图;重现量化分析
基金项目(Foundation): 国家自然科学基金资助项目(52171298);; 哈尔滨工程大学校级教学改革项目(JG2023B2510)
作者(Author): 王立媛
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