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具有非线性恢复力和外力激励的Duffing-Van der Pol系统的谐波解
Harmonic Solutions in Duffing-Van der Pol System with Nonlinear Restoring and External Excitations
【摘要】 应用动力系统的分支理论和二阶平均方法,研究带非线性恢复力和外力激励的Duffing-Van der Pol系统随系统参数变化的谐波解分支,得到了谐波解和其分支存在的条件.
【Abstract】 The bifurcational behaviours as the system’s parameters vary in Duffing-Van der Pol system with nonlinear restoring and external excitations are investigated by using bifurcation theory and second-order averaging methods.We obtained the conditions of existence of harmonic solutions and their bifurcations.
【关键词】 Duffing-Van der Pol系统;
二阶平均方法;
谐波解;
分支;
【Key words】 Duffing-Van der Pol system; second-order averaging methods; harmonic solutions; bifurcations;
【Key words】 Duffing-Van der Pol system; second-order averaging methods; harmonic solutions; bifurcations;
【基金】 重庆市教育委员会科学技术研究资助项目(041302)
- 【文献出处】 湘潭大学自然科学学报 ,Natural Science Journal of Xiangtan University , 编辑部邮箱 ,2011年01期
- 【分类号】O19
- 【下载频次】56