The Lorenz–Stenflo system is a four-parameter four-dimensional autonomous nonlinear continuous-time dynamical system, derived to model the time evolution of finite amplitude acoustic gravity waves in a rotating atmosphere. In this paper, we propose a modified Lorenz–Stenflo system, where the variable [Formula: see text] in the fourth equation of the original Lorenz–Stenflo system was replaced by [Formula: see text]. We investigate cross-sections of the parameter-space of this new system, characterizing regions of different dynamical behaviors. We show that the aforementioned replacement may promote the emergence of organized periodic structures in places of these cross-sections, where they did not exist before modification.

中文翻译：

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关于改进的 Lorenz-Stenflo 系统的动力学

Lorenz-Stenflo 系统是一个四参数四维自主非线性连续时间动力学系统，用于模拟旋转大气中有限幅度声学重力波的时间演化。在本文中，我们提出了一个改进的 Lorenz-Stenflo 系统，其中将原始 Lorenz-Stenflo 系统的第四个方程中的变量 [Formula: see text] 替换为 [Formula: see text]。我们研究了这个新系统的参数空间的横截面，表征了不同动态行为的区域。我们表明，上述替换可能会促进在这些横截面的地方出现有组织的周期性结构，而在修改之前它们并不存在。