POINCAR BIFURCATION FOR QUADRATIC SYSTEMS WITH A CENTER REGION AND AN UNBOUNDED TRIANGULAR REGION |
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作者姓名: | Gang Jiatai Dong Xiangyu |
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作者单位: | Gang Jiatai Dong Xiangyu (University Key Lab of Information Sciences and Engineering,Dalian University,Dalian 116622) Shen Boqian (Dept. of Math.,Liaoning Normal University,Dalian 116029) |
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基金项目: | Supported by NSF and RFDP of China and China Postdoctoral Science Foundation (No.10471014). |
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摘 要: | In this paper, we discuss the Poincare bifurcation for a class of quadratic systems with an unbounded triangular region and a center region. It is proved, by Poincare bifurcation, that inside the center region quadratic system perturbed by quadratic polynomial perturbation may generate three limit cycles.
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