延迟合振荡器中的部分振幅死亡与完整的多部分图形.
Ryuuya Kawano1, Yoshiki Sugitani2, Keiji Konishi2
1Graduate School of Science and Engineering, Ibaraki University, 4-12-1 Nakanarusawa, Hitachi, Ibaraki 316-8511, Japan.
Physical review. E
|August 19, 2025
概括
这项研究分析研究了延迟合振荡器中的部分振幅死亡. 我们发现合强度控制灭了振荡器,而延迟影响的是这种现象的稳定性,而不是存在.
科学领域:
- 物理 物理学 物理
- 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:
- 部分振幅死亡 (PAD) 涉及合振荡器达到平衡,而其他振荡器保持相差.
- 延迟合系统中的PAD在数值上观察到,但缺乏理论分析.
研究的目的:
- 在完整的多部分图中分析研究延迟合振荡器中的部分振幅死亡 (PAD).
- 在PAD期间导出振幅相位关系并识别相锁模式.
主要方法:
- 对延迟合振荡器的分析研究.
- 分析具有完整多方位图形拓的系统.
- 导出振幅相位关系和稳定性条件.
主要成果:
- 对于给定的网络拓,存在PAD的各种相锁模式.
- 合强度决定了灭振荡器的数量.
- 连接延迟会影响 PAD 的稳定性,但不会影响其存在.
结论:
- 该研究为理解复杂网络中的PAD提供了分析框架.
- PAD的局部稳定性分析可以简化为时间不变的线性系统.
- 结果为控制和预测振器在合系统中的行为提供了洞察力.
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