一类大阻尼非自治摆系统的周期解与混沌态

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基金项目: 南京大学育苗科学基金资助

Periodic Solution and Chaotic Behavior of a Class of Nonautonomic Pendulum Systems with Large Damping

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.

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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