| RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS |
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| 作者姓名： | 刘俊 |
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| 作者单位： | LIU Jun (Department of Mathematics，Qujing Normal College，Qujing，Yunnan 655000，P R China) (Communicated by LI Ji_bin) |
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| 基金项目： | theAppliedFoundationoftheEducationDepartmentofYunnanProvinceChina (0 0 12 2 6) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｓｙｓｔｅｍｏｆｎｏｎｌｉｎｅａｒｏｓｃｉｌｌａｔｉｎｇ ,ｐｅｒｉｏｄｉｃｍｏｔｉｏｎｉｓｏｆｐｒｉｍｅｉｍｐｏｒｔａｎｃｅ .Ｂｕｔｅｘｉｓｔｅｎｃｅｏｆｐｅｒｉｏｄｉｃｓｏｌｕｔｉｏｎｓｉｓａｖｅｒｙｄｉｆｆｉｃｕｌｔｑｕｅｓｔｉｏｎ .Ｌｕｃｋｉｌｙｔｈｅｒｅｅｘｉｓｔｓｏｍｅｋｉｎｄｓｏｆｐｅｒｉｏｄｉｃｓｏｌｕｔｉｏｎｉｎａｃｔｕａｌｐｈｙｓｉｃａｌｓｙｓｔｅｍｓ .Ｔｈｅｒｅｆｏｒｅ ,ｗｅｕｓｕａｌｌｙｃｏｎｃｅｎｔｒａｔｅｄｏｕｒａｔｔｅｎｔｉｏｎｏｎｔ…
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| 收稿时间： | 27 February 2001 |
Research of the periodic motion and stability of two-degree-of-freedom nonlinear oscillating systems |
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| Liu Jun Associate Professor.RESEARCH OF THE PERIODIC MOTION AND STABILITY OF TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2002,23(10):1229-1236. |
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| Authors: | Liu Jun Associate Professor |
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| Institution: | Department of Mathematics, Qujing Normal College,Qujing, Yunnan 655000,P R China |
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| Abstract: | The periodic motion and stability for a class of two_degree_of_freedom nonlinear oscillating systems are studied by using the method of Liapunov function. The sufficient conditions which guarantee the existence, uniqueness and asymptotic stability of the periodic solutions are obtained. |
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| Keywords: | nonlinear oscillation periodic motion Liapunov function periodic solution |
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