Publication Year

2011

Keywords

Love, relationships, mathematics, social sciences

Disciplines

Anthropology | Mathematics | Psychology | Sociology

Abstract

The purpose of this paper is to shed light on an area of study not usually focused on in mathematics. My hope is to help bridge the gap between the mathematical and social sciences. Love, marriage, and relationships are usually thought of in a more social sense, in Psychology, Sociology, Anthropology, etc. Here, I would like to direct attention towards the more concrete side of things, studying theoretical mathematical models for explanation of relationships. In this paper, I will compare and contrast the different models in use already, proposing changes or additions later on. I will delve into modeling nonlinear dynamical systems, studying catastrophe theory, performing stability analysis, finding null clines and influenced set points, and performing phase plane and portrait analysis.

Department 1 Awarding Honors Status

Mathematics

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

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