库拉莫托模型中的分叉与外部强迫和更高阶相互作用
Guilherme S Costa1, Marcel Novaes2,3, Marcus A M de Aguiar1,3
1ICTP South American Institute for Fundamental Research & Instituto de Física Teórica-UNESP, São Paulo, SP 01140-070, Brazil.
Chaos (Woodbury, N.Y.)
|December 5, 2024
概括
我们探索了库拉莫托模型与外部强迫和高阶相互作用,揭示了11个不同的系统状态. 这种组合创造了复杂的同步动态,影响了强迫和自发的行为.
科学领域:
- 复杂系统科学 复杂系统科学
- 非线性动力学是一种非线性动力学.
- 理论物理学的理论物理.
背景情况:
- 同步在自然和人工系统中至关重要,从神经元到电网.
- 库拉莫托模型是研究同步现象的基本工具.
- 现实世界的系统经常表现出外部周期强迫和更高阶相互作用.
研究的目的:
- 为了研究库拉莫托模型,结合外部周期强迫和更高阶相互作用.
- 分析由此产生的复杂的分叉场景和新出现的系统状态.
- 了解强制和自发同步之间的相互作用.
主要方法:
- 库拉莫托模型的数学分析.
- 参数空间的探索用于分叉分析.
- 识别和描述非对称状态.
主要成果:
- 强迫和更高阶相互作用的结合产生了一个丰富的分叉场景.
- 在该系统中发现了11个不同的非对称状态.
- 观察到外部强迫和自发同步之间的竞争.
- Saddle-node,Hopf和同临床多元体在双稳定区域中被发现是重复的.
结论:
- 外部强迫和高阶相互作用的相互作用显著丰富了库拉莫托模型的动态.
- 这种结合的方法导致复杂的同步行为和多个稳定的状态.
- 这些发现提供了对复杂系统中观察到的多样化的同步模式的见解.
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