风力驱动下带有参激、外激和自激的双塔系统的动力学行为

对于风力驱动下带有参数激励、外部激励和自激的双塔模型,运用近似扰动法得到模型在1∶2共振条件下的平均方程。借助于霍尔维茨准则分析平均方程的稳定性和分岔情况,得到关于参数的所有临界分岔值和各临界分岔值下雅克比矩阵的特征值类型,从而根据特征值实部的正负号,或者郁培提出的maple程序分析在一些参数临界值附近小扰动下初始平衡点的稳定性和分岔情况。

Classification and Approximate Solutions to a Class of Perturbed Nonlinear Wave Equations

A complete approximate symmetry classification of a class of perturbed nonlinear wave equations isperformed using the method originated from Fushchich and Shtelen.Moreover,large classes of approximate invariantsolutions of the equations based on the Lie group method are constructed.