ANALYSIS OF LIMIT CYCLES TO A PERTURBED INTEGRABLE NON-HAMILTONIAN SYSTEM

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作者
Xiaochun HongYunqiu WangXuemei Zhang School of Statistics and MathYunnan University of Finance and EconomicsKunming School of Mathand Information ScienceQujing Normal UniversityQujing Yunnan [1 ,2 ,1 ,2 ,1 ,6502212 ,655011 ]
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O175 [微分方程、积分方程];
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070104 ;
摘要
Bifurcation of limit cycles to a perturbed integrable non-Hamiltonian system is investigated using both qualitative analysis and numerical exploration.The investigation is based on detection functions which are particularly effective for the perturbed integrable non-Hamiltonian system.The study reveals that the system has 3 limit cycles.By the method of numerical simulation,the distributed orderliness of the 3 limitcycles is observed,and their nicety places are determined.The study also indicates that each of the 3 limit cycles passes the corresponding nicety point.
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页码:263 / 268
页数:6
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