完全与不完全的随机网

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Completed and Incompleted Stochastic Webs

1.
LNM Institute of Mechanics Chinese Academy of Sciences, Department of Mathematics, Suzhou Universitv, Suzhou;
2.
Shanghia Maritime Institute, Shanghai;
3.
Suzhou Railway Teachers College

摘要: 本文证明了鞍点连线网在小扰动下可以产生完全随机网和不完全随机网两种情况,并按照动力系统理论讨论了两类随机网的结构.
- 完全随机网 /
- 不完全随机网 /
- 横截环 /
- 退化横截环
Abstract: In this paper, the completed stochastic web and incompleted stochastic web produced by the perturbed saddle separatrix net are given. The structural properties of two kinds of web are discussed by means of the dynamical system theory.
- completed stochastic web /
- incompleted stochastic web /
- transversal heteroclinic cycle /
- degenerated transversal heteroclinic cycle

[1]	Chernikov,A.A.et al.,Stochastic webs,Physica D,33(1988),65.
[2]	Chernikov,A.A.et al.,Some peculiarities of stochastic layer and stochastic web formation,Physics Letter A,122(1987) 39.
[3]	Murakami,S.et al.,Development of stochastic webs in a wave-driven linear oscillator,PhysicaD,32(1988),269.
[4]	Guckenheimer,J.and P.J.Holmes,Nonlinear Osciallation,Dynamical Systems and Bifurcations of Vector Fields,Springer-Verlag(1983).
[5]	严寅、钱敏.横截环及其对Henan映射的应用,科学通报,29(1985),961
[6]	刘曾荣、曹永罗,横截环和不变流形(待发表).