风蚀与植被耦合的离散动力学模型研究  

Research on Discrete Dynamical Model Coupled by Wind Erosion and Vegetation

作　　者：吴选文 张化永[1] 黄头生 

机构地区：[1]华北电力大学,北京

出　　处：《应用数学进展》2021年第3期719-727,共9页Advances in Applied Mathematics

摘　　要：为了探究风蚀和植被的系统动力学,本文构建了一个离散的风蚀–植被动力学模型,并通过平衡点的稳定性分析以及分岔分析,得到了系统产生Neimark-Sacker分岔的条件。通过数值模拟,展示了由Neimark-Sacker分岔引起的复杂动力学行为,这些行为能为风蚀–植被系统的复杂动态变化提供解释。In order to explore the system dynamics of wind erosion and vegetation, this research constructs a discrete erosion-vegetation dynamical model. Through stability analysis of equilibriums and bifurcation analysis, the conditions for the system to produce the Neimark-Sacker bifurcation are obtained. Numerical simulations show the complex dynamical behaviors induced by the Neimark-Sacker bifurcation, which can provide an explanation for the complex dynamic changes of the erosion-vegetation system.

关 键 词：动力学 平衡点 NEIMARK-SACKER分岔 

分 类 号：S15[农业科学—土壤学]