时间变化的相互作用的影响:动态系统中极端事件的形成和消灭
S Leo Kingston1, Gayathri Kumaran2, Anupam Ghosh3
1Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Chaos (Woodbury, N.Y.)
|December 28, 2023
概括
通过调整相互作用时间,可以控制像神经元模型这样的合系统中的极端事件. 这种方法有助于减轻工程和振荡器网络的不必要波动.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂系统科学 复杂系统科学
- 计算神经科学是一种计算神经科学.
背景情况:
- 结合的动态系统可以表现出极端事件,即与典型行为发生的突然,大的偏差.
- 时间变化的相互作用引入了复杂性,影响了这些极端事件的发生和特征.
- 了解这些动态对于从神经科学到工程的应用至关重要.
研究的目的:
- 研究FitzHugh-Nagumo神经元和时间变化的相互作用的强迫Liénard系统中极端事件的出现.
- 分析相互作用时间的持续时间如何影响极端事件和常规事件之间的过渡.
- 探索在振荡器网络中减轻极端事件的适用性.
主要方法:
- 对结合的菲茨休-纳古莫和强制的莱纳德系统的模拟.
- 分析时间变化的合函数及其对系统动态的影响.
- 研究与极端事件相关的参数区域和相互作用持续时间.
- 将该方法扩展到合振荡器网络.
主要成果:
- 极端事件是由于特定参数区域的时间变化的相互作用引起的.
- 相互作用时间的持续时间显著地改变了极端事件和常规事件之间的过渡点.
- 通过调整交互时间,可以实现极端事件的缓解.
- 这种方法适用于更大的交互振荡器网络.
结论:
- 时间变化的相互作用是合系统中极端事件的关键驱动因素.
- 对相互作用持续时间的战略控制提供了一种缓解极端事件的方法.
- 这项研究为控制工程和复杂网络的波动提供了一个框架.
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