Determination of Romantic Relationship Categories and Investigatıon of Their Dynamical Properties

Abstract

In studies on dynamical modeling of romantic relationships, it is seen that individuals are divided into four different romantic styles. Most of these studies focused on the mathematical analysis of the dynamic expression of individuals' attitudes or tried to determine what kind of relationship evolution randomly assigned romantic style parameters will create. The categorization of relationship types and finding the general characteristics of the relationships in each category by identifying all combinations of four different romantic styles, to our knowledge, have not been attempted before. To fill this gap in the literature, this study divided individuals into four different romantic styles and identified ten different types of relationships formed by the combination of these four styles. The evolution of the love/hate situation of individuals in each type of relationship was modeled with a linear differential equation system and the short-term development of the relationship to evolve from an initial state was determined. According to the results, it was observed that in some types of relationships, couples achieved harmony in the love/hate mood over time, while in some types of relationships, a couple was reluctant. It has even been determined that the willingness in the relationship enters a periodic cycle. With the findings obtained, it can be determined what kind of relationship the couples are in, guidance can be provided and feedback correction can be provided to their attitudes in the relationship. Overall, this study aimed to be a starting point for the applicability of dynamic modeling with psychometric research.

Keywords

• Linear Systems
• Matematical Sociology
• human behavior
• dynamics of love
• fixed points

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