由于吸引力合网络中的排斥性跨越树木造成的集群形成
Sayantan Nag Chowdhury1,2, Md Sayeed Anwar2, Dibakar Ghosh2
1Department of Environmental Science and Policy, University of California, Davis, Davis, California 95616, USA.
Physical review. E
|May 17, 2024
概括
这项研究探讨了排斥性相互作用如何影响结合振荡器网络中的集群同步. 排斥性跨树可以预测集群形成和网络丧,提供对复杂系统的洞察力.
科学领域:
- 复杂的系统复杂的系统.
- 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:
- 结合的非线性振荡器对于理解集体行为至关重要.
- 集群同步在技术和生物系统中至关重要.
- 现有的研究主要集中在有吸引力的合上,忽视了竞争的相互作用.
研究的目的:
- 调查排斥性跨树对吸引力合振荡器网络中的集群形成的影响.
- 预测集群成员和网络丧,无论局部振荡器动态如何.
- 分析新兴集群状态的稳定性.
主要方法:
- 使用主稳定性函数方法.
- 分析具有吸引力和排斥性合的极限周期振荡器网络.
- 使用数学建模来预测集群形成和稳定性.
主要成果:
- 成功预测了新兴集群中的节点成员资格.
- 证明了网络丧的出现.
- 对特定网络结构的单独状态和反同步的形成进行了验证.
- 确定了集群状态的局部非对称稳定性.
结论:
- 排斥性相互作用在合振荡器网络中显著影响集群形成.
- 这些发现独立于特定的当地动态,突出了一般的网络原则.
- 这项工作为理解竞争互动的系统中复杂的集体行为提供了一个框架.
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