Bifurcations of periodic solutions and chaos in Josephson system

被引：0
作者：
Jing, ZJ [1 ]
Chan, KY
Xu, DS
Cao, HJ
机构：
[1] Hunan Normal Univ, Dept Math, Changsha, Peoples R China
[2] Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
[3] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2001年 / 7卷 / 03期
关键词：
Josephson systems; bifurcations; periodic solution; chaos; second-order averaging and Melnikov methods;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Josephson equation is investigated in detail: the existence and bifurcations for harmonic and subharmonic solutions under small perturbations are obtained by using second-order averaging method and subharmonic Melnikov function, and the criterion of existence for chaos is proved by Melnikov analysis; the bifurcation curves about n-subharmonic and heteroclinic orbits and the driving frequency omega effects to the forms of chaotic behaviors are given by numerical simulations.
引用
收藏
页码：573 / 592
页数：20
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