由多重网络中的层不匹配引起的同步
Md Sayeed Anwar1, Sarbendu Rakshit2, Jürgen Kurths3,4
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India.
Entropy (Basel, Switzerland)
|July 29, 2023
概括
具有不匹配层的多重网络更容易同步. 在局部动力学中引入参数不匹配会降低内层同步所需的合强度,并扩大其发生区域.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 同步现象是一种同步现象.
背景情况:
- 在复杂的系统中,异质性至关重要.
- 多重网络中的结构不匹配得到了很好的研究.
- 参数不匹配对内层同步的影响不太清楚.
研究的目的:
- 调查具有参数不匹配的多重网络中的内层同步.
- 分析层异质性对同步动态的影响.
- 确定稳定的内层同步的条件.
主要方法:
- 对层内同步溶液存在和稳定性的条件的分析推导.
- 具有参数不匹配的多重网络的数学建模.
- 分析参数不匹配和同步属性之间的关系.
主要成果:
- 参数不匹配会降低同步所需的层内合强度.
- 越来越多的不匹配扩大了发生层内同步的参数区域.
- 尽管参数差异,但所有层都同时同步.
结论:
- 具有不匹配层的多层网络可以比具有相同层的网络更容易实现同步.
- 参数异质性可以促进层内同步.
- 该研究提供了对复杂网络系统同步的理论见解.
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