Abstract In this paper, we consider the well-known Vallis model for El Niño driven by an external excitation. The bifurcation studies on the driven Vallis model are conducted with different control parameters. Then we discuss about the taming of the Hopf bifurcation by varying the driving function. We could note that the system changes its state from stable steady state to oscillatory state and vice versa which is achieved by changing the driving function. Finally, two parameter bifurcation plots are derived to show that impact of the driving function on the system bifurcation points.

中文翻译：

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在驱动的厄尔尼诺模型中驯服 Hopf 分岔

摘要 在本文中，我们考虑了著名的由外部激励驱动的厄尔尼诺现象的 Vallis 模型。对驱动 Vallis 模型的分岔研究是用不同的控制参数进行的。然后我们讨论了通过改变驱动函数来驯服 Hopf 分岔。我们可以注意到系统从稳定状态变为振荡状态，反之亦然，这是通过改变驱动函数来实现的。最后，推导出两个参数分岔图来显示驱动函数对系统分岔点的影响。