VARIATIONAL REPRESENTATION OF THE PROJECTION DYNAMICS AND RANDOM MOTION OF HIGHLY DISSIPATIVE SYSTEMS

被引：3

作者：

GAFIYCHUK, VV ^{[1
]}

LUBASHEVSKII, IA ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST GEN PHYS,MOSCOW 117333,RUSSIA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 10期

关键词：

D O I：

10.1063/1.531283

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose the method of investigation of highly dissipative systems, which are based on the approximation of the attractor by some manifold. The projection dynamic equations for the general form of such manifold of the dissipative dynamic system are obtained. Variational principles for the projection dynamics are considered. On the basis of the projection dynamic equations we investigate the influence of the random forces on the behaviour of the system. (C) 1995 American Institute of Physics.

引用

页码：5735 / 5752

页数：18

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