Pitchfork bifurcation of a class of discrete dynamical systems
A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness...
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| Format: | Proceeding Paper |
| Language: | English English English |
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2017
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| Online Access: | http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf |
| _version_ | 1848785701761449984 |
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| author | Pah, Chin Hee |
| author_facet | Pah, Chin Hee |
| author_sort | Pah, Chin Hee |
| building | IIUM Repository |
| collection | Online Access |
| description | A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness of stable fixed point and single stable fixed point are immediately obtained. All the previous results could be derived using this criterion. |
| first_indexed | 2025-11-14T16:57:20Z |
| format | Proceeding Paper |
| id | iium-61631 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:57:20Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-616312019-08-18T07:03:49Z http://irep.iium.edu.my/61631/ Pitchfork bifurcation of a class of discrete dynamical systems Pah, Chin Hee QA300 Analysis A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness of stable fixed point and single stable fixed point are immediately obtained. All the previous results could be derived using this criterion. 2017-01-10 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf application/pdf en http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf application/pdf en http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf Pah, Chin Hee (2017) Pitchfork bifurcation of a class of discrete dynamical systems. In: 2nd International Conference And Workshop On Mathematical Analysis 2016 (ICWOMA2016), 2nd–4th August 2016, Langkawi, Kedah, Malaysia. http://aip.scitation.org/doi/pdf/10.1063/1.4972161 10.1063/1.4972161 |
| spellingShingle | QA300 Analysis Pah, Chin Hee Pitchfork bifurcation of a class of discrete dynamical systems |
| title | Pitchfork bifurcation of a class of discrete dynamical systems |
| title_full | Pitchfork bifurcation of a class of discrete dynamical systems |
| title_fullStr | Pitchfork bifurcation of a class of discrete dynamical systems |
| title_full_unstemmed | Pitchfork bifurcation of a class of discrete dynamical systems |
| title_short | Pitchfork bifurcation of a class of discrete dynamical systems |
| title_sort | pitchfork bifurcation of a class of discrete dynamical systems |
| topic | QA300 Analysis |
| url | http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf |