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

Full text not available from this repository.

Official URL: http://dx.doi.org/10.12988/ijma.2015.412381

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | bifurcation of limit cycles, centre condition, infinity |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 58665 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 04:07 |

Last Modified: | 07 Apr 2022 02:42 |

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