IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/7418132.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2017/7418132.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2017/7418132.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/7418132?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Cobb, Loren, 1980. "Estimation Theory for the Cusp Catastrophe Model," MPRA Paper 37548, University Library of Munich, Germany, revised 05 Jun 2010.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ding-Geng Chen & Haipeng Gao & Chuanshu Ji, 2021. "Bayesian Inference for Stochastic Cusp Catastrophe Model with Partially Observed Data," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
    2. Gerß, Wolfgang, 2008. "Das Ende der DDR als konsequente mathematische Katastrophe," Duisburger Beiträge zur soziologischen Forschung 1/2008, University of Duisburg-Essen, Institute of Sociology.
    3. Yi-Wen Kuo & Cheng-Hsien Hsieh & Yu-Chen Hung, 2021. "Non-linear characteristics in switching intention to use a docked bike-sharing system," Transportation, Springer, vol. 48(3), pages 1459-1479, June.
    4. Miloslav Vošvrda & Jozef Baruník, 2008. "Modelování krachů na kapitálových trzích: aplikace teorie stochastických katastrof [Stock market crashes modeling: stochastic cusp catastrophe application]," Politická ekonomie, Prague University of Economics and Business, vol. 2008(6), pages 759-771.
    5. Yi-Wen Kuo & Cheng-Hsien Hsieh & Yu-Chen Hung, 0. "Non-linear characteristics in switching intention to use a docked bike-sharing system," Transportation, Springer, vol. 0, pages 1-21.
    6. Jozef Barunik & Jiri Kukacka, 2015. "Realizing stock market crashes: stochastic cusp catastrophe model of returns under time-varying volatility," Quantitative Finance, Taylor & Francis Journals, vol. 15(6), pages 959-973, June.
    7. Mohamed M. Mostafa, 2020. "Catastrophe Theory Predicts International Concern for Global Warming," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 18(3), pages 709-731, September.
    8. Lange, Rense & McDade, Sean & Oliva, Terence A., 2001. "Technological choice and network externalities: a catastrophe model analysis of firm software adoption for competing operating systems," Structural Change and Economic Dynamics, Elsevier, vol. 12(1), pages 29-57, March.
    9. Kukacka, Jiri & Kristoufek, Ladislav, 2020. "Do ‘complex’ financial models really lead to complex dynamics? Agent-based models and multifractality," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    10. Rosser Jr., J. Barkley, 2007. "The rise and fall of catastrophe theory applications in economics: Was the baby thrown out with the bathwater?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3255-3280, October.
    11. Grasman, Raoul & van der Maas, Han L.J. & Wagenmakers, Eric-Jan, 2009. "Fitting the Cusp Catastrophe in R: A cusp Package Primer," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 32(i08).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:7418132. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.