In this article using an analytical method called Fishing principle we obtain the region of parameters, where the existence of a homoclinic orbit to a zero saddle equilibrium in the Lorenz-like system is proved. For a qualitative description of the different types of homoclinic bifurcations, a numerical analysis of the obtained region of parameters is organized, which leads to the discovery of new bifurcation scenarios.

中文翻译：

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类洛伦兹系统钓鱼原理中的同宿分岔与混沌

在这篇文章中，我们使用一种称为钓鱼原理的分析方法获得了参数区域，其中证明了类洛伦兹系统中零鞍平衡的同宿轨道的存在。为了对不同类型的同宿分岔进行定性描述，对获得的参数区域进行了数值分析，从而发现了新的分岔场景。