Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles – dependence of the amplitude $A$ on frequency $\Omega$ of the driving force, computed by asymptotic methods in implicit form as $F\left(A,\Omega \right)=0$, permit prediction of metamorphoses of dynamics which occur at singular points of the implicit curve $F\left(A,\Omega \right)=0$. 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.

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两个耦合振荡器的有效方程：振幅图的变形的整体视图

研究了非线性耦合驱动振荡器的动力学。最近，我们证明了振幅分布图–振幅的依赖性$\mathrm{一种}$ 在频率上 $\Omega$ 的驱动力，通过渐进方法以隐式形式计算为 $F\left(\mathrm{一种}，\Omega \right)=0$，允许预测发生在隐式曲线奇异点处的动力学变形 $F\left(\mathrm{一种}，\Omega \right)=0$。在本研究中，我们致力于计算分叉集的振幅轮廓的奇异点的全局视图，即包含参数空间中振幅轮廓具有奇异点的所有点的集合。