Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model. (26th September 2017)

• Record Type: Journal Article
• Authors: Meiza, Asti; Darwis, Sutawanir; Gunawan, Agus Yodi; Fitriana, Efi
• Other Names: Tang Niansheng Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2017(2017)
• Publication Date: 2017-09-26
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2017/7418132
• Languages: English
• ISSNs: 0161-1712

Abstract

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.