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

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  • Asti Meiza
  • Sutawanir Darwis
  • Agus Yodi Gunawan
  • Efi Fitriana

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.

Suggested Citation

  • Asti Meiza & Sutawanir Darwis & Agus Yodi Gunawan & Efi Fitriana, 2017. "Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2017, pages 1-6, September.
    • Handle: RePEc:hin:jijmms:7418132
    DOI: 10.1155/2017/7418132
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    References listed on IDEAS

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    1. Cobb, Loren, 1980. "Estimation Theory for the Cusp Catastrophe Model," MPRA Paper 37548, University Library of Munich, Germany, revised 05 Jun 2010.
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