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探索复杂网络中间接合的作用:在分数离散节点中出现混乱和
Ernesto Zambrano-Serrano1, Miguel Angel Platas-Garza1, Cornelio Posadas-Castillo1
1Facultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León, San Nicolás de los Garza 66455, NL, Mexico.
本研究探讨了使用间接合的分数级复杂网络中的混乱. 在现场可编程网关阵列 (FPGA) 上硬件实现确认了网络.
科学领域:
- 复杂系统动力学 复杂系统动力学
- 分数计算的应用 分数计算的应用
- 网络科学 网络科学
背景情况:
- 了解复杂系统的动态,特别是那些涉及微积分计算的动态,对于预测系统行为至关重要.
- 分数差异和分数顺序系统为复杂的动态提供了先进的建模能力.
研究的目的:
- 调查复杂的动态网络中混乱的出现,以间接合和分数顺序.
- 分析这样的分数顺序混乱网络的复杂性和硬件可实现性.
主要方法:
- 通过中间分数顺序节点利用间接合来产生复杂的网络动态.
- 通过时间序列,相平面,分叉图和利亚普诺夫指数分析了网络动态.
- 通过混乱时间序列的光谱分析量化网络复杂性.
主要成果:
- 在研究的分数级复杂动态网络中证明了混乱的出现.
- 通过使用光谱成功量化生成的混乱序列的复杂性.
- 通过现场可编程网关阵列 (FPGA) 实现复杂网络的硬件可实现性.
结论:
- 有间接合的分数级复杂网络可以表现出混乱的行为.
- 提出的方法有效地分析和量化这些混乱动态的复杂性.
- 成功实施FPGA验证了这些复杂系统的实际可行性.
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