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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM
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《机械工程前沿(英文)》 2014年 第9卷 第2期 页码 177-190 doi: 10.1007/s11465-014-0288-8
In the present paper, three complicated nonlinear differential equations in the field of vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by Algebraic Method (AGM). Investigating this kind of equations is a very hard task to do and the obtained solution is not accurate and reliable. This issue will be emerged after comparing the achieved solutions by numerical method (Runge-Kutte 4th). Based on the comparisons which have been made between the gained solutions by AGM and numerical method, it is possible to indicate that AGM can be successfully applied for various differential equations particularly for difficult ones. The results reveal that this method is not only very effective and simple, but also reliable, and can be applied for other complicated nonlinear problems.
关键词: Algebraic Method (AGM) Angular Frequency Vanderpol Rayleigh Duffing
高欢芹,酆广增,朱琦
《中国工程科学》 2006年 第8卷 第1期 页码 67-71
自适应调制根据瞬时信道信噪比选择适当的调制方式,能够改善系统的BER性能以及平均吞吐量性能。在常用于高速移动环境的六径瑞利衰落信道模型下,研究自适应调制系统的最佳信噪比门限值,使系统的平均吞吐量最大,同时保证了目标BER性能,得到的最佳门限值可以用于ITU-R M1225 Vehicular Test A模型的自适应调制系统。
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