| 复Duffing振子稳态响应下的谐波同伦解及滞后效应分析 |
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| 引用本文： | 国忠金,孙丹. 复Duffing振子稳态响应下的谐波同伦解及滞后效应分析[J]. 泰山学院学报, 2008, 30(6) |
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| 作者姓名： | 国忠金 孙丹 |
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| 作者单位： | 1. 泰山学院 数学与系统科学学院,山东 泰安,271021
2. 滨州外国语学校,山东 滨州,251800 |
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| 基金项目： | 泰山学院科研资助立项项目 |
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| 摘 要： | 通过谐波平衡与同伦延拓法分析了复Duffing振子的响应及其稳定性．结果显示，复Duffing振子存在多重稳态响应与滞后效应．
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| 关 键 词： | 复Duffing振子 谐波平衡法 同伦延拓法 多重谐波解 |
The Harmonic-Homotopy Solutions on the Steady State and Hysteresis Effects of Complex Duffing Oscillator |
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| GUO Zhong-jin,SUN Dan. The Harmonic-Homotopy Solutions on the Steady State and Hysteresis Effects of Complex Duffing Oscillator[J]. Journal of Taishan University, 2008, 30(6) |
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| Authors: | GUO Zhong-jin SUN Dan |
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| Affiliation: | GUO Zhong-jin1,SUN Dan2(1.College of Mathematics , Systems Science,Taishan University,Tai'an,271021,2.Foreign Language School of Binzhou,Binzhou,251800,China) |
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| Abstract: | The steady state responses and stabilities of complex Duffing oscillator are analyzed by using harmonic balance and homotopy continuation methods.The result shows that there exist multiple responses on the steady state and hysteresis effects about complex Duffing oscillator. |
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| Keywords: | complex Duffing oscillator harmonic balance method homotopy continuation method multi-harmonic solutions |
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