MODIFIED MODELS FOR LOVE AND THEIR DYNAMICAL PROPERTIES

被引：3

作者：

Chen, Kewang ^{[1
]}

Liu, Wenjun ^{[1
]}

Park, Jaekeun ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Hanseo Univ, Dept Math, Chungnam Do 356706, Seosan Si, South Korea

来源：

MISKOLC MATHEMATICAL NOTES | 2016年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

love dynamic; differential equations; external perturbation function; singular point; limit cycle; AFFAIRS; SYSTEM; DELAY;

D O I：

10.18514/MMN.2016.1789

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we modify the present linear and nonlinear dynamic models of love between two individuals. For the linear system, we make the model more realistic by introducing external perturbation functions, and then discuss the influences of different types of external perturbation functions. For the nonlinear system, we focus on the love affairs between two "complementary people" and introduce the nonlinearities in a different way. Then we investigate the corresponding mathematical properties of the systems trajectories and phase-plane, and explain its special meanings in a romantic relationship. Also, we have offered some practical advice to promote the development of their relationship.

引用

页码：119 / 132

页数：14

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