Analysis of saddle-node bifurcations in an interpersonal relationship model

被引：0

作者：

Luis, Franco-Perez ^{[1
]}

Sergio, Hernandez-Linares ^{[1
]}

Elsa, Baez-Juarez ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Cuajimalpa, Dept Appl Math & Syst, Mexico City 05348, Mexico

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2025年 / 31卷 / 01期

关键词：

Saddle-node bifurcation; interpersonal relationship dynamics; mathematical model; DYNAMICAL MODELS; LOVE DYNAMICS;

D O I：

10.1080/13873954.2025.2530612

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents a model of affective interpersonal relationships among secure individuals. The model consists of three main factors: oblivion, response to a partner's affection, and perception of the partner's characteristics. A simple return function is employed for a detailed formal mathematical analysis. The paper demonstrates the existence of a saddle-node bifurcation related to individuals' perceptions of their partner's attributes. This work indicates that improving the perception of a partner's qualities can lead to an enhancement in the relationship.

引用

页数：17

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