基于自适应同步的动态网络的交换拓的识别
Kezan Li1,2,3, Dan Yang1, Changyao Shi1
1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China.
Chaos (Woodbury, N.Y.)
|December 4, 2023
概括
本研究引入了一种用于识别复杂动态网络中未知的切换拓学的新方法. 该方法使用专业观察员和自适应同步,在各种切换期间进行准确,可验证的识别.
科学领域:
- 复杂的动态网络 复杂的动态网络
- 网络拓识别 网络拓识别
- 适应性控制系统 适应性控制系统
背景情况:
- 动态网络通常具有复杂和未知的切换拓.
- 准确识别这些拓对于网络分析和控制至关重要.
- 现有方法可能依赖于限制性假设,限制其适用性.
研究的目的:
- 提出一种新的方法来识别复杂的动态网络中未知的切换拓.
- 开发一种不依赖于线性独立假设的方法.
- 确保识别方法对任何有限的切换周期有效.
主要方法:
- 使用主驱动网络和专用响应网络与交换拓观察员.
- 根据驱动网络的拓状态,动态调整观察者更新规律.
- 使用自适应同步控制和利亚普诺夫函数方法来导出识别条件.
主要成果:
- 建立了成功识别拓学的足够条件.
- 提出的方法放弃了线性独立的假设,使用一个易于验证的条件.
- 使用混乱的Lü和Lorenz系统的数值示例验证了该方法的有效性.
结论:
- 开发的方法准确地识别了复杂的动态网络中未知的切换拓.
- 该方法是稳固的,适用于所有有限的切换周期.
- 这项工作为网络分析提供了更实用和更广泛的应用工具.
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