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

页码：971 / 983

页数：13

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