Number of limit cycles for homogeneous polynomial system
In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial system of degree four is examined. This requires a problem for bifurcation of limit cycles at infinity be converted from the original system to the class of complex autonomous differential system. The eva...
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| Format: | Article |
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Hikari Ltd.
2015
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| author | Salih, H. W. Aziz, Z. A. Salah, F. |
| author_facet | Salih, H. W. Aziz, Z. A. Salah, F. |
| author_sort | Salih, H. W. |
| collection | ePrints |
| description | In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial system of degree four is examined. This requires a problem for bifurcation of limit cycles at infinity be converted from the original system to the class of complex autonomous differential system. The evaluation of the conditions from the origin to be a centre and the highest degree fine focus results from the calculation of singular point values. A quartic system is constructed for which it can bifurcate with only one limit cycle at infinity when the normal parameters are constant. |
| first_indexed | 2024-03-05T19:43:05Z |
| format | Article |
| id | utm.eprints-58665 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:43:05Z |
| publishDate | 2015 |
| publisher | Hikari Ltd. |
| record_format | dspace |
| spelling | utm.eprints-586652022-04-07T02:42:33Z http://eprints.utm.my/58665/ Number of limit cycles for homogeneous polynomial system Salih, H. W. Aziz, Z. A. Salah, F. QA Mathematics In this paper the bifurcation of limit cycles at infinity for a class of homogeneous polynomial system of degree four is examined. This requires a problem for bifurcation of limit cycles at infinity be converted from the original system to the class of complex autonomous differential system. The evaluation of the conditions from the origin to be a centre and the highest degree fine focus results from the calculation of singular point values. A quartic system is constructed for which it can bifurcate with only one limit cycle at infinity when the normal parameters are constant. Hikari Ltd. 2015 Article PeerReviewed Salih, H. W. and Aziz, Z. A. and Salah, F. (2015) Number of limit cycles for homogeneous polynomial system. Intertional Journal Of Mathematical Analysis, 9 (21-24). pp. 1083-1093. ISSN 1312-8876 http://dx.doi.org/10.12988/ijma.2015.412381 DOI: 10.12988/ijma.2015.412381 |
| spellingShingle | QA Mathematics Salih, H. W. Aziz, Z. A. Salah, F. Number of limit cycles for homogeneous polynomial system |
| title | Number of limit cycles for homogeneous polynomial system |
| title_full | Number of limit cycles for homogeneous polynomial system |
| title_fullStr | Number of limit cycles for homogeneous polynomial system |
| title_full_unstemmed | Number of limit cycles for homogeneous polynomial system |
| title_short | Number of limit cycles for homogeneous polynomial system |
| title_sort | number of limit cycles for homogeneous polynomial system |
| topic | QA Mathematics |
| work_keys_str_mv | AT salihhw numberoflimitcyclesforhomogeneouspolynomialsystem AT azizza numberoflimitcyclesforhomogeneouspolynomialsystem AT salahf numberoflimitcyclesforhomogeneouspolynomialsystem |