Classification of the centers and isochronicity for a class of quartic polynomial differential systems |
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| Authors: | Li Feng Liu Yirong |
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| Affiliation: | 1. School of Science, Linyi University, Linyi 276005, Shandong, PR China;2. School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, Hunan, PR China;1. The British University in Dubai, Dubai, United Arab Emirates;2. Al-Buraimi University College, Al-Buraimi, Oman;3. School of Informatics, University of Edinburgh, UK;1. PhD, Assist. Prof, Ankara University Faculty of Educational Sciences, Cebeci, Ankara, Turkey;2. MS, English Teacher ?stanbul, Turkey |
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| Abstract: | In this paper, the conditions of center and isochronous center at the origin for a class of planar quartic differential systems are studied. At first, a constructive theorem of singular point quantities is presented, which plays an important role in simplifying periodic constants. The sufficient and necessary conditions for the origin of the systems being a center are obtained. Then a complete classification of the sufficient and necessary conditions are given for the origin of the systems being an isochronous center. |
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