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International Journal of Mathematics and Mathematical Sciences
Volume 2017, Article ID 7418132, 6 pages
https://doi.org/10.1155/2017/7418132
Research Article

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

1Psychology Faculty, UIN Sunan Gunung Djati-Bandung, Bandung, Indonesia
2Statistical Research Division of Mathematics and Natural Faculty, Bandung Institute of Technology, Bandung, Indonesia
3Industrial and Finance Research Division of Mathematics and Natural Faculty, Bandung Institute of Technology, Bandung, Indonesia
4Faculty of Psychology, Padjadjaran University, Bandung, Indonesia

Correspondence should be addressed to Asti Meiza; di.ca.dgsniu@aziem.itsa

Received 8 June 2017; Revised 26 July 2017; Accepted 9 August 2017; Published 26 September 2017

Academic Editor: Niansheng Tang

Copyright © 2017 Asti Meiza et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.