证明一个连接后勤图的系统的混乱:一个拓方法
A Bosisio1, A Naimzada2, M Pireddu3
1Sempione Sim SPA, Via Maurizio Gonzaga 2, 20123 Milano, Italy.
Chaos (Woodbury, N.Y.)
|March 6, 2024
概括
这项研究证明了相互依赖的经济体模拟的合物流图中的混乱动态. 沿途伸展 (SAP) 方法证实了混乱传输,第二次代为出现的混乱行为提供了更广泛的参数范围.
科学领域:
- 动态系统理论 动态系统理论
- 经济建模经济建模
- 混沌理论 混沌理论
背景情况:
- 该研究研究了两个合后勤地图的离散时间系统,模拟具有竞争性市场和需求联系的相互依存经济体.
- 约瑟菲等人以前的工作. (2000年) 为这种经济模式建立了一个框架.
研究的目的:
- 为了证明特定参数值的合物流地图系统中混乱动态的存在.
- 探索拉伸沿路径 (SAP) 方法在分析这个系统混乱行为的应用和有效性.
主要方法:
- 使用了沿路径伸展 (SAP) 方法,这是分析单位正方形同态集合上的地图的拓技术.
- 将SAP方法应用于系统地图的第一个和第二个代.
- 进行数值模拟以验证理论发现.
主要成果:
- 在合后勤地图系统和伯努利转移之间建立了半结合性,传递像正拓一样的混乱性质.
- 证明将SAP方法应用于第二次代允许更广泛的链接参数出现混乱.
- 数字模拟证实了从第二次代的SAP分析中得出的条件下,混沌吸引物的存在.
结论:
- 混乱的动态被证实在相互依赖的经济体的模型中,这些经济体是由合后勤地图所代表的.
- SAP方法,特别是当应用到第二次代时,为识别和理解这种经济模型中的混乱行为提供了一个强大的框架.
- 这些发现表明,复杂的,不可预测的经济相互作用可能来自相对简单的潜在动态.
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