Transient linear growth and nonlinear effects

被引：1

作者：

Hooper, AP ^{[1
]}

Grimshaw, R

机构：

[1] Univ W England, Dept Math Sci, Bristol BS16 1QY, Avon, England

[2] Univ Loughborough, Loughborough, Leics, England

来源：

STUDIES IN APPLIED MATHEMATICS | 2001年 / 106卷 / 01期

关键词：

D O I：

10.1111/1467-9590.00160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a simple model consisting of two coupled nonlinear ordinary differential equations to display the interplay between transient linear growth and nonlinear effects. Specifically, we seek to examine any possible links between the initial conditions that yield maximum transient linear growth and those initial conditions that first lead to attraction to a stable critical point other than the origin. Our results show that any such link is only apparent when the nonlinearity is small.

引用

页码：47 / 68

页数：22

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