| 一类大阻尼非自治摆系统的周期解与混沌态 |
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| 引用本文： | 孙建华.一类大阻尼非自治摆系统的周期解与混沌态[J].应用数学和力学,1988,9(12):1129-1137. |
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| 作者姓名： | 孙建华 |
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| 作者单位： | 南京大学数学系 |
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| 基金项目： | 南京大学育苗科学基金资助 |
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| 摘 要： | 本文研究二阶非自治摆型系统的周期解的存在性和唯一性,并研究了φ(t)=1-ελcosωt,F(t)=β+εμ(cosωt-ωsinωt)a>0为大阻尼系数时该系统呈现混沌性态的参数区域.所得结果推广了文1～8]中的相应结论.
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| 收稿时间： | 1987-08-04 |
Periodic Solution and Chaotic Behavior of a Class of Nonautonomic Pendulum Systems with Large Damping |
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| Institution: | Nanjing University, Nanjing |
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| Abstract: | In this paper the existence and uniqueness of the periodic solution is studied for a class of second order nonautonomic pendulum systems and the parameter regions tor which the system in chaos is myestigated when φ(t)=1-ελcosωt,F(t)=β+εμ(cosωt-ωsinωt) and the tamping coefficient a>0 is large. The result obtained generalize the corresponding conclusions of papers 1-8]. |
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