1:-4共振二次系统的可线性化条件

doi:10.12066/j.issn.1007-2861.2439

上海大学学报(自然科学版) ›› 2026, Vol. 32 ›› Issue (2): 352-374.doi: 10.12066/j.issn.1007-2861.2439

• 数学 • 上一篇

1:-4共振二次系统的可线性化条件

胡召平, 张涛

上海大学理学院, 上海 200444

收稿日期:2022-12-07 发布日期:2026-05-11
通讯作者: 胡召平(1981-), 男, 副教授, 博士, 研究方向为微分方程与动力系统. E-mail:zhaopinghu@shu.edu.cn
基金资助:
国家自然科学基金资助项目(11632008)

Linearizability conditions of a 1:-4 resonant quadratic system

HU Zhaoping, ZHANG Tao

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2022-12-07 Published:2026-05-11

摘要/Abstract

摘要： 研究复平面上1:-4共振二次系统的可线性化问题,得到系统可线性化的充分必要条件.

关键词: 可积性, 可线性化性, Darboux因子, 余因式, 积分因子

Abstract: In this paper, we study the linearizability for the complex 1:-4 resonant quadratic system, and we obtain the necessary and sufficient conditions for the linearizibility of the system.

Key words: Integrability, linearizability, Darboux factor, cofactor, integrable factor

中图分类号:

O175.1

胡召平, 张涛. 1:-4共振二次系统的可线性化条件[J]. 上海大学学报(自然科学版), 2026, 32(2): 352-374.

HU Zhaoping, ZHANG Tao. Linearizability conditions of a 1:-4 resonant quadratic system[J]. Journal of Shanghai University（Natural Science Edition）, 2026, 32(2): 352-374.

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1:-4共振二次系统的可线性化条件

Linearizability conditions of a 1:-4 resonant quadratic system

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