适应性网络中的相位过渡与全球秩序参数适应性
M Manoranjani1, V R Saiprasad1, R Gopal1
1Department of Physics, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, Thanjavur 613 401, India.
Physical review. E
|November 18, 2023
概括
我们研究了自适应的库拉莫托振荡器,发现了连续和突然的同步过渡. 阶段滞后参数扩展同步状态,影响网络动态.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 网络科学 网络科学
背景情况:
- 库拉莫托振荡器是合系统中同步的基本模型.
- 适应性网络在网络结构中引入动态变化,影响集体行为.
- 了解分叉现象对于描述动态系统中的过渡至关重要.
研究的目的:
- 研究库拉莫托振荡器在适应性网络中的同步过渡与二极合.
- 分析全球秩序参数和适应性合强度在网络同步中的作用.
- 探索阶段滞后参数对同步和可比状态的影响.
主要方法:
- 通过叉和座节点分叉的连续和突然同步过渡的分析.
- 用奥特-安东森的方法来推导全球秩序参数的低维进化方程.
- 数字模拟用于验证理论分叉条件.
主要成果:
- 通过叉分叉识别了连续同步和通过-节点分叉突变的突变,从而创建了可二位区域 (R1和R2).
- 证明了从不连贯到可比状态以及可比状态之间的过渡,作为合强度的函数.
- 表明相滞后参数显著扩大了弱同步和可比状态的参数空间.
结论:
- 适应性网络表现出复杂的同步行为,包括连续和突然的过渡.
- 两叉分析和奥特-安东森法则为网络动态提供了准确的预测.
- 阶段滞后参数提供了一种机制来控制和扩大适应性振荡器网络中的同步状态.
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