在高阶适应性网络中的同步
Md Sayeed Anwar1,2, S Nirmala Jenifer3, Paulsamy Muruganandam3
1Indian Statistical Institute, Physics and Applied Mathematics Unit, 203 B. T. Road, Kolkata 700108, India.
Physical review. E
|February 7, 2025
概括
本研究介绍了自适应性高阶网络,以建模具有群体相互作用的复杂系统. 它揭示了稳定同步的条件,显示了群体动态和适应如何影响系统行为.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 复杂的系统往往表现出随着时间的推移而变化的群体相互作用.
- 现有的自适应性网络模型主要侧重于对互动,忽视了群体动态.
研究的目的:
- 开发适应性高级网络的一般框架,包括适应性和群体相互作用.
- 确定这些系统中稳定的全球同步所需的条件.
主要方法:
- 提出了适应性高级网络的一般框架.
- 分析了具有适应性双向相互作用的系统,然后扩展到适应性更高阶相互作用.
- 利用主稳定性方程来推导同步的条件.
主要成果:
- 证明了适应性高阶网络中全球同步的存在.
- 确定了稳定的同步状态的必要条件,将动态和结构性质分开.
- 展示了使用相结合的一般化库拉莫托振荡器与相滞后的研究结果.
结论:
- 群体相互作用和适应性连接的相互作用创造了稳定区域,使同步和脱同步之间的过渡成为可能.
- 高阶适应与恒定的高阶相互作用相比,显著影响同步稳定性.
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