On the structure of the solutions of a two-parameter family of three-dimensional ordinary differential equations

被引：3

作者：

Impram, ST

Johnson, R

Pavani, R

机构：

[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 05期

关键词：

three-dimensional ODEs; scroll structure; period-doubling; Hopf solutions;

D O I：

10.1142/S0218127403007229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the global structure of the solutions of a three-dimensional, autonomous ordinary differential equation which depends on two parameters. We use graphical, heuristic, and rigorous arguments to show that as the parameters vary, a wide range of dynamical behavior is displayed.

引用

页码：1287 / 1298

页数：12