Fitzhugh-nagumo模型

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August undefined, 2024

WebThis paper is devoted to investigating the analytical solutions of the modified FitzHugh-Nagumo (FHN) neuron model with external electric fields through by the discrete mapping method, which can provide a new perspective to the study of complex motions of the neuron. The bifurcation trees of period-1 to period-8 motions and period-3 to period ... WebOct 13, 2024 · FitzHugh-Nagumo model. i wish to solve the equations v'=v^3/3-w+i, w'=g (v+a-bw) with a=0.8, b=0.7, g=0.08, i=0.5 using ode45 in matlab. i solved in on paper but …

FitzHugh-Nagumo-Rinzel模型的分支分析 - 百度学术

WebNov 7, 2024 · A set of codes to generate a network of neurons following the Fitz-Hugh Nagumo model WebOct 7, 2016 · In 1961, R. Fitzhugh and J. Nagumo proposed a model for emulating the current signal observed in a living organism’s excitable cells.This became known as the FitzHugh-Nagumo (FN) model of … photo editing clean face online

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WebLow-cost accurate digital realization of the spiking neural networks is crucial to investigate the behaviors of human brain performance. This paper presents a multiplierless burst-mode Fitz-Hugh Nagu WebMay 8, 2024 · 本文研究了在FitzHugh-Nagumo神经元耦合而成的多层神经元网络中，控制神经元节点分量对于神经元动力学特性和网络同步行为的影响问题.利用舒尔补定理和李雅普诺夫稳定性理论等分析方法，分别推导出了单层网络和多层网络两种情况下实现网络同步时的控制条件，推广了多层神经元网络控制同步的 ... Web一个描述细节的神经元模型 —— Hodgkin–Huxley model 之所以说是细节，是因为这个模型直接反映了细胞膜上离子通道的开闭情况。 ... 一个二维模型例子是FitzHugh-Nagumo model, \frac{du}{dt} = u-\frac{1}{3}u^3-w+I \frac{dw}{dt} = \epsilon(b0+b1u-w) 下图是在FitzHugh-Nagumo 模型上做phase ... how does didacticism spoil a work

多层 FitzHugh-Nagumo 神经元网络的控制同步 - whu.edu.cn

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Web本文主要是利用微分方程定性理论与分支理论的相关知识,对FitzHugh-Nagumo-Rinzel模型进行分析和研究,讨论了该系统产生平衡点的个数与条件,平衡点附近系统满足局部稳定的条 … WebNov 4, 2010 · FitzHugh-Nagumo系统中螺旋波的控制. 1. 深圳大学材料学院,深圳市特种功能材料重点实验室,深圳 518060. 摘要: 采用FitzHugh-Nagumo方程,研究了二维时空系统中螺旋波的控制问题,利用相空间压缩方法对部分系统变量的振幅进行限制从而影响螺旋波的稳定性.研究表明,控制 ... how does did affect daily lifeWebJan 27, 2012 · The simplicity of the FitzHugh-Nagumo model permits the entire solution to be viewed at once. This allows a geometrical explanation of important biological … An equilibrium (or equilibrium point) of a dynamical system generated by an … Highly interdisciplinary. Mathematical biology is a highly interdisciplinary area … A Boundary value problem is a system of ordinary differential equations with … Dynamical systems first appeared when Newton introduced the concept of … Richard (Dick) FitzHugh (b. March 30, 1922, in Concord, Massachusetts, d. … The van der Pol oscillator is an oscillator with nonlinear damping governed by the … photo editing clip art

"Web2.2 FitzHugh-Nagumo(FHN) 神经元模型自1951 年以来, 对电化学细胞的定量研究主要受到了霍奇金和赫胥黎对长乌贼巨型轴索神经传导的杰出研究的推动. 霍奇金和赫胥黎主要是建立四维模型来表示在乌贼的巨大轴 " - Fitzhugh-nagumo模型

Fitzhugh-nagumo模型

WebFitzHugh-Nagumo 模型的相图分析中主要涉及到三个区域即震荡区域（Oscillation region）、双稳态区域（Bistable region ）和兴奋区域（Excitation region）。在震荡区域内，状态点将沿着极限环移动，在双稳态区域内，状态点将缓缓地回到某一个稳定的定点，此点移动到定点 ... WebThis article investigates the complex phenomena of canard explosion with mixed-mode oscillations, observed from a fractional-order FitzHugh-Nagumo (FFHN) model. To …

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Web1961 年，R. Fitzhugh (参考文献1 ) 和 J. Nagumo 提出了一个模型，用于模拟在生物体的可兴奋细胞中观察到的电流信号。这个被称为数学神经科学的 FitzHugh-Nagumo (FN) 模 … Web美国生物物理学家菲茨休(R. FitzHugh)和日本电子工程师南云仁一分别独立提出的霍奇金–赫胥黎模型的一种二变量简化模型。定性地模拟了神经元的振荡行为。

WebThe Fitzhugh-Nagumo model is often used as a generic model for excitable media because it is analytically tractable. You will use it as a simple model to generate traveling waves … WebFurthermore, the correctness and effectiveness of the proposed FitzHugh-Nagumo neuron model with state-dependent impulsive effects are verified by circuit simulation. Finally, the conclusions of this paper are analyzed and summarized, and the effects of random factors on the electrophysiological activities of neuron are discussed by numerical ...

WebPoisson-Nernst-Planck 模型是基于离子相互作用的平均场近似以及浓度和静电势的连续描述建立的。一些简化的神经元模型（如FitzHugh-Nagumo模型）也发展了出来，它们有助于对神经元群进行高效的大规模模拟，以及对动作电位产生的动力学的数学洞察。参见 WebCOMSOL Multiphysics 的偏微分方程接口中包含该模型中使用的 FitzHugh-Nagumo 方程和复金兹堡-朗道(complex Ginzburg-Landau)方程。使用 2 种不同的偏微分方程分析心脏组织中的电信号传播. 通过使用 FitzHugh-Nagumo 方程来模拟激发介质，可以创建具有两个变量的简单生理学心脏 ...

Web利用辅助方程的几种结论，构造了广义Fitzhugh-Nagumo方程的多种无穷序列新解.步骤一，利用函数变换与首次积分，给出了辅助方程的新解、Bäcklund变换和解的非线性叠加公式.步骤二，通过函数变换，将广义Fitzhugh-Nagumo方程的求解问题转化为非线性常微分方程 …

WebA small c means that it is easy for the neuron to activate, while a larger value (closer to 1) means that the neuron has trouble activating. (You might think of trying to model some … photo editing clean faceWeb可兴奋性神经系统内外部噪声增强的阵列随机共振,段法兵,徐小龙,研究了加和FitzHugh-Nagumo神经网络模型中的阵列随机共振现象,一个已被污染的非周期信号作为输入,在网络各神经模型中内部噪声的驱动 . photo editing clip art onlineWebFitzHugh-Nagumo（FH-N）模型是以Richard Fitzhugh（1922-2007）和J. Nagumo等人命名。Richard Fitzhugh在1961年提出该系统的，J. Nagumo在第二年创造了等效电路。该模 … photo editing color calibrationWebJul 20, 2024 · 应对新型冠状病毒肺炎: 流行病传播的配置模型；孤立态在 van der Pol 振子二维晶格中形成时空图形中的作用；复杂网络上的 FitzHugh-Nagumo 振子模拟癫痫发作相关的同步现象； Kuramoto 模型的部分锁相解决方案；建立复杂系统弹性模型的指引； how does diet affect anxietyWebFeb 27, 2024 · Author: Administrator Created Date: 2/27/2024 7:34:29 PM how does diet affect academic performanceWebA. Estimating b Using Fast-Slow Dynamics of the FitzHugh-Nagumo Model Fig. 3 is a representation of the slow and fast manifolds of FHN on the wv-plane and its … photo editing color changeWebMar 18, 2024 · 三、FitzHugh-Nagumo模型的相位图分析（Phaseplaneanalysis）对于FH-N模型方程（1），实验确定的参数a=0.7，b=0.8，=1/0.08。. 即FH-N模型的主要目的是 … photo editing color enhancing