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考虑一类具有阶段结构捕食开发模型,运用特征根分析法和迭代法得到了系统惟一正平衡点全局渐近稳定的简练条件,进一步分析了最优收获策略问题.并举例说明所得结论. 相似文献
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阐述了对于带缓变参数的强非线性振动系统,平均拟恒等变换与多重变量展开如何在持续共振解中首阶等价. 相似文献
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Elapsed time of periodic motion with negative damping 总被引:3,自引:0,他引:3
李怡平 《应用数学和力学(英文版)》1992,13(8):719-723
An initially periodic motion is gradually raised out of the potential well by the effect of negative damping. The elapsed time when the motion ceases to be periodic is obtained by multiple variable expansions. An example of a strictly nonlinear system shows the result has a good approximation and is easy to calculate. 相似文献
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李怡平 《中山大学学报(自然科学版)》1999,38(6):6-10
对于波动器磁场纵向渐变的自由电子激光器,不仅渐变锥度对电子能量有累积影响,而且信号场的增长率对电子能量也有累积效应,这些高阶微量要以通过将运动方程和波动方程渐近展开后得到,由电子能量谐振的发生条件可以确定系统参数慢变和更慢变的2种特性以及系统信号场微速、低速和高速等3级不同的增长速率,这是一个有微摄动带慢变参数的强非线性振动系统。 相似文献
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带有负阻尼的振动系统,其振幅在振动过程中逐渐增大,最终溢出势能井终止振荡现象.应用多重尺度法推得从平方非线性振动系统势能井逃逸的时间.近似势能法用于克服非线性带来的困难.数值算例证实本文的方法是有效的. 相似文献
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The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly varying parameter of length, three different cases are discussed in details. Asymptotic analytical expressions of amplitude, frequency and solution are obtained. The method of approximate potential makes the results effective for large oscillations. A modified multiple scales method is used to get more accurate leading order approximations when the coefficient friction is not small. Comparisons are also made with numerical results to show the efficiency of the present method. 相似文献
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初始时作周期运动的系统被负阻尼作用逐渐托出势能井,其周期运动的经过时间由多重变量展开解得.一强非线性系统的算例表明其结果近似性好且计算简便. 相似文献
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