Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model

Meiza, Asti and Darwis, Sutawanir and Gunawan, Agus Yodi and Fitriana, Efi (2017) Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model. International Journal of Mathematics and Mathematical Sciences, 2017. pp. 1-6.

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Official URL: https://www.hindawi.com/journals/ijmms/2017/741813...

Abstract

A sudden jump in the value of the state variable in a certain dynamical system can be studied through a catastrophe model. This paper presents an application of catastrophe model to solve psychological problems. Since we will have three psychological aspects or parameters, intelligence (I), emotion (E), and adversity (A), a Swallowtail catastrophe model is considered to be an appropriate one. Our methodology consists of three steps: solving the Swallowtail potential function, finding the critical points up to and including threefold degenerates, and fitting the model into our measured data. Using a polynomial curve fitting derived from the potential function of Swallowtail catastrophe model, relations among three parameters combinations are analyzed. Results show that there are catastrophe phenomena for each relation, meaning that a small change in one psychological aspect may cause a dramatic change in another aspect.

Item Type: Article
Uncontrolled Keywords: The raw data in Figures are the distributions of intelligence, emotion, and adversity scores
Subjects: Relationship of Libraries > Relationship with the Community
Comparative Psychology
Applied Psychology > Personal Improvement and Analysis
Divisions: Fakultas Psikologi > Program Studi Psikologi
Depositing User: Users 38 not found.
Date Deposited: 29 Apr 2018 15:35
Last Modified: 02 Jun 2018 06:06
URI: https://digilib.uinsgd.ac.id/id/eprint/8755

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