Computation of Distinguished Hyperbolic Trajectories in Time-dependent Vector Fields

被引:0
|
作者
Yao, Peng [1 ]
Wang, Yanbo [1 ]
Chen, Gairong [1 ]
Li, Qiong [1 ]
机构
[1] Xin Xiang Coll Chem Dept, Xin Xiang 453003, He Nan, Peoples R China
关键词
Distinguished hyperbolic trajectory; Non-automatic system; Time-dependent vector fields; EQUATIONS; STABILITY; SYSTEMS; FLOWS;
D O I
10.4028/www.scientific.net/AMM.71-78.3909
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
By studying the definition of DHT (distinguished hyperbolic trajectory) and existing measure function in phase space, a measure function in the extended phase space is presented in this paper. Effect of system frequency on computation of DHT is explored. Two-dimensional and three-dimensional Duffing systems are taken as examples. The comparison between measure function in extended phase space and that in phase space and the comparison between natural frequency and twice frequency are both given by figures.
引用
收藏
页码:3909 / +
页数:2
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