Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2017/7418132 |
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| author | Asti Meiza Sutawanir Darwis Agus Yodi Gunawan Efi Fitriana |
| author_facet | Asti Meiza Sutawanir Darwis Agus Yodi Gunawan Efi Fitriana |
| author_sort | Asti Meiza |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fd84a56efe4b49959c925b8f29ff0b1e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd84a56efe4b49959c925b8f29ff0b1e2025-02-03T01:22:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252017-01-01201710.1155/2017/74181327418132Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe ModelAsti Meiza0Sutawanir Darwis1Agus Yodi Gunawan2Efi Fitriana3Psychology Faculty, UIN Sunan Gunung Djati-Bandung, Bandung, IndonesiaStatistical Research Division of Mathematics and Natural Faculty, Bandung Institute of Technology, Bandung, IndonesiaIndustrial and Finance Research Division of Mathematics and Natural Faculty, Bandung Institute of Technology, Bandung, IndonesiaFaculty of Psychology, Padjadjaran University, Bandung, IndonesiaA 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.http://dx.doi.org/10.1155/2017/7418132 |
| spellingShingle | Asti Meiza Sutawanir Darwis Agus Yodi Gunawan Efi Fitriana Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model International Journal of Mathematics and Mathematical Sciences |
| title | Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model |
| title_full | Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model |
| title_fullStr | Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model |
| title_full_unstemmed | Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model |
| title_short | Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model |
| title_sort | quantitative analysis of the relationship between three psychological parameters based on swallowtail catastrophe model |
| url | http://dx.doi.org/10.1155/2017/7418132 |
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