论文标题
两个耦合振荡器的有效方程式：迈向振幅轮廓变形的全局视图
Effective equation for two coupled oscillators: towards a global view of metamorphoses of the amplitude profiles
论文作者
论文摘要
研究了非线性耦合驱动振荡器的动力学。 Recently, we have demonstrated that the amplitude profiles -- dependence of the amplitude $A$ on frequency $Ω$ of the driving force, computed by asymptotic methods in implicit form as $F\left( A,Ω\right) =0$, permit prediction of metamorphoses of dynamics which occur at singular points of the implicit curve $F\left( A,Ω\right) =0$.在本研究中，我们在振幅轮廓计算分叉集的奇异点的全局视图中进行努力，即包含参数空间中的所有点的集合，幅度曲线具有单数点。
Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles -- dependence of the amplitude $A$ on frequency $Ω$ of the driving force, computed by asymptotic methods in implicit form as $F\left( A,Ω\right) =0$, permit prediction of metamorphoses of dynamics which occur at singular points of the implicit curve $F\left( A,Ω\right) =0$. In the present study we strive at a global view of singular points of the amplitude profiles computing bifurcation sets, i.e. sets containing all points in the parameter space for which the amplitude profile has a singular point.
