Approximate Inertial Manifolds for the System of the J-J Equations

Cat Rizeng; Xu Zhenyuan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(4): 327-334

Cat Rizeng, Xu Zhenyuan. Approximate Inertial Manifolds for the System of the J-J Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 327-334.

Citation:

Cat Rizeng, Xu Zhenyuan. Approximate Inertial Manifolds for the System of the J-J Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 327-334.

Citation:

Cat Rizeng, Xu Zhenyuan. Approximate Inertial Manifolds for the System of the J-J Equations[J]. Applied Mathematics and Mechanics, 1996, 17(4): 327-334.

PDF( 2500 KB)

Approximate Inertial Manifolds for the System of the J-J Equations

Wuxi Institute of Light Industry, Wuxi, Jiangsu 214036, P. R. China

Received Date: 1995-03-27
Publish Date: 1996-04-15

Abstract

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

FullText(HTML)

References(4)

References

[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.