Analytical construction of homoclinic orbits of two- and three-dimensional dynamical systems

被引：26
|
作者：
Mikhlin, YV [1 ]
机构：
[1] Kharkov Polytech Univ, UA-310002 Kharkov, Ukraine
来源：
JOURNAL OF SOUND AND VIBRATION | 2000年 / 230卷 / 05期
关键词：
D O I：
10.1006/jsvi.1999.2669
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
An approach for the construction of homoclinic orbits of non-linear dynamical systems with phase spaces of dimensions equal to two or three is proposed here. The non-linear Schrodinger equation and Lorenz system are considered. Quasi-Pade' approximants are used for this construction. Potentiality and convergence conditions used earlier in the theory of non-linear normal vibration modes make it possible to solve the boundary-value problems formulated for the orbits and to evaluate initial amplitude values. (C) 2000 Academic Press.
引用
收藏
页码：971 / 983
页数：13
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