Completed and Incompleted Stochastic Webs

Liu Zeng-rong; Xu Zheng-fan; Wang Qi-gao; Hou Dian-hui

Volume 12 Issue 7

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(7): 587-592

Liu Zeng-rong, Xu Zheng-fan, Wang Qi-gao, Hou Dian-hui. Completed and Incompleted Stochastic Webs[J]. Applied Mathematics and Mechanics, 1991, 12(7): 587-592.

Citation:

Liu Zeng-rong, Xu Zheng-fan, Wang Qi-gao, Hou Dian-hui. Completed and Incompleted Stochastic Webs[J]. Applied Mathematics and Mechanics, 1991, 12(7): 587-592.

Citation:

Liu Zeng-rong, Xu Zheng-fan, Wang Qi-gao, Hou Dian-hui. Completed and Incompleted Stochastic Webs[J]. Applied Mathematics and Mechanics, 1991, 12(7): 587-592.

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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

Received Date: 1990-09-10
Publish Date: 1991-07-15

Abstract

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

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References(6)

References

[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).

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