ANALYSIS OF LIMIT CYCLES TO A PERTURBED INTEGRABLE NON-HAMILTONIAN SYSTEM |
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| Authors: | Xiaochun Hong Yunqiu Wang Xuemei Zhang |
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| Institution: | School of Statistics and Math.,Yunnan University of Finance and Economics,Kunming 650221;2.School of Math.and Information Science,Qujing Normal University,Qujing 655011,Yunnan |
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| Abstract: | 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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| Keywords: | limit cycle integrable non-Hamiltonian system detection function numerical exploration |
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