脉冲暴露对菲茨休-纳古莫系统整体的奇默状态的影响
1Radiophysics and Nonlinear Dynamics Department, Institute of Physics, Saratov State University, Astrakhanskaya str. 83, Saratov 410012, Russia.
Chaos (Woodbury, N.Y.)
|July 2, 2024
概括
定期的高斯脉冲会影响结合的菲茨休-纳古莫系统中的嵌合体状态,在空间同步过程中揭示出呼吸和移动嵌合体等新奇的变异. 这项研究探讨了外部强迫下的多样化木乃伊动态.
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.
- 计算神经科学是一种神经科学.
背景情况:
- 奇梅拉状态代表了合振荡器群体中一种独特的不连贯形式.
- 菲茨休-纳古莫系统是研究神经元刺激性和动态的一个广泛使用的模型.
- 外部周期强迫可以显著改变复杂的振荡系统的行为.
研究的目的:
- 为了研究周期性高斯脉冲对嵌合体状态在结合的FitzHugh-Nagumo系统的环中的影响.
- 为了识别和表征由高斯强迫诱导的新奇的嵌合体状态变化.
- 为了比较高斯脉冲与波强迫 (正和正负两种) 对嵌合体动态的影响.
主要方法:
- 结合的FitzHugh-Nagumo系统的数值模拟.
- 在周期性高斯脉冲激发下分析系统动态.
- 观察到的嵌合体状态与波强迫引起的状态的比较.
主要成果:
- 在过渡到完整的空间同步期间,观察到各种非典型的嵌合体状态.
- 确定的特定新型状态包括呼吸模拟器,不连贯部分间歇性模拟器和有强间歇性的移动模拟器.
- 与力强迫的比较揭示了由外部周期信号的性质影响的独特动态模式.
结论:
- 定期的高斯脉冲可以在结合的菲茨休-纳古莫系统中诱导复杂和多样化的嵌合体状态行为.
- 这些发现扩大了已知的奇默状态和它们的形成机制.
- 外部周期性影响的类型 (高斯式与波式) 在塑造奇美拉动态方面起着至关重要的作用.
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