| CHAOTIC BEHAVIOUR OF FORCED OSCILLATOR CONTAINING A SQUARE NONLINEAR TERM ON PRINCIPAL RESONANCE CURVES |
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| 引用本文： | 裴钦元,李骊.CHAOTIC BEHAVIOUR OF FORCED OSCILLATOR CONTAINING A SQUARE NONLINEAR TERM ON PRINCIPAL RESONANCE CURVES[J].应用数学和力学(英文版),1995,16(3):229-236. |
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| 作者姓名： | 裴钦元 李骊 |
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| 作者单位： | Pei Qin-yuan(Changsha Railway University，Changsha 410000 )Li Li(Beijing Polytechnic University，Beijing 100022) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | ＣＨＡＯＴＩＣＢＥＨＡＶＩＯＵＲＯＦＦＯＲＣＥＤＯＳＣＩＬＬＡＴＯＲＣＯＮＴＡＩＮＩＮＧＡＳＱＵＡＲＥＮＯＮＬＩＮＥＡＲＴＥＲＭＯＮＰＲＩＮＣＩＰＡＬＲＥＳＯＮＡＮＣＥＣＵＲＶＥＳＰｅｉＱｉｎ－ｙｕａｎ（裴钦元）（ＣｈａｎｇｓｈａＲａｉｌｗａｙＵｎｉ...
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| 收稿时间： | 6 October 1994 |
Chaotic behaviour of forced oscillator containing a square nonlinear term on principal resonance curves |
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| Pei Qin-yuan,Li Li.Chaotic behaviour of forced oscillator containing a square nonlinear term on principal resonance curves[J].Applied Mathematics and Mechanics(English Edition),1995,16(3):229-236. |
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| Authors: | Pei Qin-yuan Li Li |
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| Institution: | 1. Changsha Railway University, Changsha 410000;
2. Beijing Polytechnic University, Beijing 100022 |
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| Abstract: | In this paper based on 1]we go further into the study of chaotic behaviour of theforced oscillator containing a square nonlinear term by the methods of multiple scalesand numerical simulation. Relation between the chaotic domain and principal resonance curve is discussed. By analyzing the stability of principal resonance curve weinfer that chaotic motion would occur near the frequency at which the principalresonance curve has vertical tangent.Results of numerical simulation confirm thisinference.Thus we offer an effective way to seek the chaotic motion of the systems which are hard to he investigated by Melnikoy method. |
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| Keywords: | method of multiple scales principal resonance curve numericalsimulation chaotic motion |
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