The Number of Limit Cycles for a Class of Quartic Hamitonian System
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The Number of Limit Cycles for a Class of Quartic Hamitonian System
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 51, Issue 2, Pages: 35-39(2012)
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桂林电子科技大学数学与计算科学学院,广西,桂林,541004
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Published:2012,
Published Online:25 March 2012,
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FAN Xingyu, HUANG Wentao, CHEN Aiyong. The Number of Limit Cycles for a Class of Quartic Hamitonian System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):35-39(2012)
DOI:
FAN Xingyu, HUANG Wentao, CHEN Aiyong. The Number of Limit Cycles for a Class of Quartic Hamitonian System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):35-39(2012)DOI:
The Number of Limit Cycles for a Class of Quartic Hamitonian System
The quartic Hamilton system with quartic perturbed terms is studied. By using the accurate method to calculate the number of zeros of Abel integrals of the system
it is obtained that the system has at least 14 limit cycles.