自我反延迟在理论Brusselator系统中诱导极端事件
S V Manivelan1, S Sabarathinam2, K Thamilmaran3
1Bharathidasan University, Department of Physics, M. R. Government Arts College (Affiliated to , ), Mannargudi 614001, Tamilnadu, India.
Physical review. E
|August 19, 2025
概括
布鲁塞拉托模型中的时间延迟可以触发极端事件,即使有扩散. 稳定性分析和实验验证证证实了这些发现,揭示了复杂动态背后的机制.
科学领域:
- 理论化学是一种理论化学.
- 化学动力学 化学动力学
- 非线性动力学是一种非线性动力学.
背景情况:
- 布鲁塞拉托模型是表现出复杂动态的反应扩散系统的经典例子.
- 化学反应的时间延迟可以显著改变系统行为,可能导致不稳定和极端事件.
- 了解延迟的影响对于预测和控制化学过程至关重要.
研究的目的:
- 调查时间延迟的自我反对布鲁塞拉托模型的影响.
- 确定在这个系统中出现极端事件的条件和机制.
- 通过使用模拟电子电路来实验验证理论预测.
主要方法:
- 布鲁塞拉托模型的理论分析与时间延迟的自我反.
- 关于延迟时间的稳定性分析.
- 使用相位图,时间序列和概率分布函数进行数值模拟.
- 双参数扫描用于绘制极端事件和暂时混乱的参数模式.
- 构建和测试模拟电子电路以模拟模型.
主要成果:
- 布鲁塞拉托模型中的时间延迟可以诱导极端事件,无论是否有扩散.
- 稳定性分析揭示了延迟时间在驱动这些极端事件中的关键作用.
- 数字工具证实了极端事件的发生,并确定了短暂混乱的区域.
- 模拟电子电路成功模拟了模型预测的动态,验证了理论发现.
结论:
- 时间延迟的自我反是布鲁塞拉托模型中极端事件出现的重要因素.
- 该研究提供了对控制这些现象的参数空间的全面了解.
- 实验验证证证实了理论模型及其预测的稳定性.
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