J－J方程组的渐近惯性流形<sup>*</sup>

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

J－J方程组的渐近惯性流形^*

基金项目: * 国家自然科学基金

摘要: 本文构造了Liapunov泛函,得出了Josephson结中的sine-Gordon方程组的高模态的衰减性质,从而给出了渐近惯性流形。
- 无穷维动力系统 /
- 渐近惯性流形
Abstract: In this paper foe Liapunov functionals has been constructed.the decay property of the high dimensional modes of the J-J equations in the Josephson junctions is obtained,and thus the approxtmate inertial manifolds are given.
- approximate inertial manifolds /
- infinite dimensional dynamical Systems

[1]	A.R.Flasch Bishop,Correlations between chaos in a perturbed sine-Gordon equation and a truncated model system,SIAM.J.Math.Anal.,21,6(1990),1511-1536.
[2]	Xu Zhenyuan and Liu Zengrong,Approximate inertial manifolds for sine-Gordon equation,Kexue Tongbao,38,19(1993),1752-1753.
[3]	J.K.Hale and G.Raugel,Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation,J.Diff.Equn.,73(1988),197-214.
[4]	J.K.Hale and J.Scheurle,Smoothness of bounded solutions of nonlinear evolution equation,J.Diff: Equn.,56(1985),142-163.

点击查看大图