在具有高阶相互作用的自适应库拉莫托-萨卡古奇振荡器中进行同步过渡
Abhishek Sharma1, Priyanka Rajwani1, Sarika Jalan1
1Complex Systems Lab, Department of Physics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India.
Chaos (Woodbury, N.Y.)
|August 30, 2024
概括
这项研究探讨了与相滞后和适应相结合的库拉莫托振荡器. 研究结果揭示了这些因素如何改变同步过渡,为复杂系统动态提供了洞察力.
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.
- 统计物理 统计物理
背景情况:
- 合振荡器模型对于理解自然和人工系统中的同步至关重要.
- 库拉莫托振荡器模型是研究同步现象的基本框架.
- 阶段滞后和适应等高阶相互作用和参数为同步动态带来了复杂性.
研究的目的:
- 对库拉莫托振荡器模型上更高阶相互作用中的相位延迟和适应的影响进行调查.
- 分析这些参数如何影响同步过渡的顺序.
- 探索适应和相滞后之间的相互作用,以确定同步行为.
主要方法:
- 合的库拉莫托振荡器模型的数值模拟.
- 对同步过渡的分析 (一级,二级,分层同步).
- 在热力学极限中应用奥特-安东森方法进行分析描述.
主要成果:
- 同步过渡顺序从第一顺序转移到第二顺序,通过分层同步调解,基于适应参数.
- 阶段滞后在较低的适应参数指数下促进了这些过渡.
- 适应和相位延迟的结合效应消除了分层同步,使得直接的第一到第二阶段过渡成为可能.
结论:
- 适应和相位延迟是控制高阶合振荡器系统同步过渡类型的关键参数.
- 奥特-安东森方法为同步动态提供了准确的分析预测,通过数值模拟验证.
- 这项研究加深了对复杂系统中的同步机制的理解.
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