Detecting the phenomenon of strange non-chaotic attractors
I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forcing functions is then considered. The normal approach found in the literature is to start with an ordinary differential equation, change to a difference equation, and then plot a graph. The question o...
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| Format: | Article |
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2010
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| Online Access: | http://scholars.utp.edu.my/id/eprint/2762/ |
| _version_ | 1848659301035409408 |
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| author | Oxley, A. |
| author_facet | Oxley, A. |
| author_sort | Oxley, A. |
| building | UTP Institutional Repository |
| collection | Online Access |
| description | I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forcing functions is then considered. The normal approach found in the literature is to start with an ordinary differential equation, change to a difference equation, and then plot a graph. The question of how to detect a strange non-chaotic attractor without the underlying ordinary differential equation is posed and some pointers are given as to a possible method of solution using statistical analysis.
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| first_indexed | 2025-11-13T07:28:15Z |
| format | Article |
| id | oai:scholars.utp.edu.my:2762 |
| institution | Universiti Teknologi Petronas |
| institution_category | Local University |
| last_indexed | 2025-11-13T07:28:15Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:scholars.utp.edu.my:27622014-04-01T10:49:42Z http://scholars.utp.edu.my/id/eprint/2762/ Detecting the phenomenon of strange non-chaotic attractors Oxley, A. QA Mathematics I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forcing functions is then considered. The normal approach found in the literature is to start with an ordinary differential equation, change to a difference equation, and then plot a graph. The question of how to detect a strange non-chaotic attractor without the underlying ordinary differential equation is posed and some pointers are given as to a possible method of solution using statistical analysis. 2010 Article PeerReviewed Oxley, A. (2010) Detecting the phenomenon of strange non-chaotic attractors. ANZIAM Journal. http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/viewArticle/2454 |
| spellingShingle | QA Mathematics Oxley, A. Detecting the phenomenon of strange non-chaotic attractors |
| title | Detecting the phenomenon of strange non-chaotic attractors |
| title_full | Detecting the phenomenon of strange non-chaotic attractors |
| title_fullStr | Detecting the phenomenon of strange non-chaotic attractors |
| title_full_unstemmed | Detecting the phenomenon of strange non-chaotic attractors |
| title_short | Detecting the phenomenon of strange non-chaotic attractors |
| title_sort | detecting the phenomenon of strange non-chaotic attractors |
| topic | QA Mathematics |
| url | http://scholars.utp.edu.my/id/eprint/2762/ http://scholars.utp.edu.my/id/eprint/2762/ |