适应性多层网络中爆炸性同步过渡的延迟介导控制
Richita Ghosh1, Md Sayeed Anwar2, Manish Dev Shrimali1
1Department of Physics, Central University of Rajasthan, Ajmer 305 817, Rajasthan, India.
Chaos (Woodbury, N.Y.)
|September 5, 2025
概括
研究人员引入了相延迟来控制复杂网络中的爆炸性同步. 这种方法有效地抑制了突然的转变,使集体动态更顺,更安全.
科学领域:
- 复杂系统的动态
- 网络科学
- 非线性动力学
背景情况:
- 合振荡器网络中的高阶相互作用可能导致爆炸性同步,一种突如其来的第一阶转变.
- 虽然在理论上很有趣,但在实际系统中,爆炸性同步通常是不必要的,而且可能是危险的.
研究的目的:
- 研究一种控制机制,以抑制高阶交互的适应性多层网络中的爆炸性同步.
- 探索引入相位延迟以减轻突然过渡的有效性.
主要方法:
- 在具有更高阶相互作用的适应多层网络中引入相位延迟.
- 调节适应指数和阶段挫折参数.
- 分析从第一阶段到第二阶段的变化.
主要成果:
- 阶段滞后有效地抑制了爆炸性同步,即使是高阶相互作用.
- 增加相位延迟缩小了hysteresis宽度,并将突变转化为平滑的,连续的.
- 控制策略在现实世界网络中是强大而有效的, 包括大脑网络.
结论:
- 作为一个有效的控制策略来服爆炸同步.
- 这项研究有助于理解合成和生物复杂系统中的关键集体动态.
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