Chaotic dynamics of the Duffing-Holms model with external excitation

被引：0

作者：

Feng, Guo ^{[1
]}

Hong, Yu ^{[1
]}

Zibo, Ding Yin ^{[2
]}

机构：

[1] Shandong Womens Univ, Sch Data & Comp Sci, Jinan 250300, Peoples R China

[2] Water Conservancy Shandong Technician Coll, Zibo 255130, Peoples R China

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期

基金：

美国国家科学基金会;

关键词：

financial market; Duffing Holms model; chaos; Melnikov method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The dynamics of the Duffing-Holms model are researched, and the critical conditions for chaos of the model with external excitation are obtained using Melnikov method. The expression of Melnikov function is given. The results show that the criteria obtained for chaos motion in the sense of the Smale horseshoe is consistent with that obtained by the numerical simulation. Research shows the Melnikov function is an effective analytical method to judge the occurrence of chaotic motion.

引用

页码：249 / 260

页数：12

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