驱动的菲茨休-纳古莫振荡器的分支分析:预测和实验
1Department of Physics & Astronomy, University of North Carolina Greensboro, Greensboro, North Carolina 27402, USA.
Chaos (Woodbury, N.Y.)
|December 22, 2025
概括
菲茨休-纳古莫振荡器的分支分析揭示了在正弦强迫下复杂的动态. 一个全面的政权地图详细介绍了振荡行为,包括亚和弦极限周期和混乱,增强对这个基础系统的理解.
科学领域:
- 非线性动力学是一种非线性动力学.
- 计算神经科学是一种计算神经科学.
- 电气工程 电气工程 电气工程
背景情况:
- 菲茨休-纳古莫振荡器是神经元刺激性的基本模型.
- 了解其在外部强迫下的动态对于神经科学和工程应用至关重要.
- 之前的研究已经绘制了这个系统的有限参数空间.
研究的目的:
- 为了对由侧面源驱动的FitzHugh-Nagumo振荡器进行详细的分支分析.
- 为了生成一个全面的振荡动态的2D模式地图.
- 将数值结果与模拟电路测量结果进行比较.
主要方法:
- 分叉分析应用于菲茨休-纳古莫振荡器模型.
- 在源频率和振幅的参数空间中数值生成了一个2D模式图.
- 模拟电路测量被用来验证数值地图.
主要成果:
- 数字生成的调节图与模拟电路测量的图密切匹配.
- 对快速变量施加侧面强迫,创造了一个独特的区域 (岛屿) 复杂的动力学.
- 这个区域在源频率上表现出不稳定的振荡,主导着亚波极限周期和混乱.
结论:
- 呈现的综合政权图提供了对FitzHugh-Nagumo振荡器在正弦强迫下动态的详细了解.
- 这张地图整合并扩展了以前发表的发现.
- 这些结果将有助于研究更复杂的FitzHugh-Nagumo系统实现.
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