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
DOI: 10.12677/AAM.2021.103078, PDF,    国家科技经费支持
作者: 吴选文, 张化永*, 黄头生：华北电力大学，北京
关键词: 动力学；平衡点；Neimark-Sacker分岔；Dynamics； Equilibrium； Neimark-Sacker Bifurcation
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。
Abstract: 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.
文章引用：吴选文, 张化永, 黄头生. 风蚀与植被耦合的离散动力学模型研究[J]. 应用数学进展, 2021, 10(3): 719-727. https://doi.org/10.12677/AAM.2021.103078

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