Fitzhugh-nagumo模型

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August undefined, 2024

http://web.mit.edu/dahleh/www/pubs/Faghih.EMBC10_0907_FI-1.pdf 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 …

【Comp-Neuro小黑屋】关于几个单神经元模型（上） - 知乎

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 kind of Alzheimers-affected neurons with this parameter.) Finally, we have the Fitzhugh-Nagumo equations: d V d t = − V ( V − c) ( V − 1) − R d R d t = a V ... orca buch

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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。 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 ... WebNov 7, 2024 · A set of codes to generate a network of neurons following the Fitz-Hugh Nagumo model orca bursary

Fitzhugh-Nagumo 方程_百度百科

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 … WebRinzel对FHN模型加以延展,得到了一个三维的神经动力系统,即FitzHugh-Nagumo-Rinzel模型,此模型反映了神经元在接受刺激时产生的不同放电模式和动力学行为,具有重要的理论意义和实用价值. 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 ... orca bottleWebThe 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 … ips core training

"WebFurthermore, the correctness and effectiveness of the proposed FitzHugh-Nagumo neuron model with state-dependent impulsive effects are verified by circuit simulation. Finally, … " - Fitzhugh-nagumo模型

Fitzhugh-nagumo模型

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

http://www.mashqliu.com/Uploads/file/20240227/20240227194959485948.pdf WebSep 1, 2015 · The analysis of amplitude equations shows the occurrence of different complex phenomena, including Turing instability Eckhaus instability and zigzag …

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WebFH-N 模型的主要目的是从钠和钾离子流的电化学性质中分离出发起和传递的基本数学性质。模型中包括 FitzHugh-Nagumo 模型摘要：FitzHugh-Nagumo（FH-N）模型是以 … WebFeb 23, 2009 · 利用N个Fitzhugh-Nagumo模型作为网络节点，通过非线性耦合构成完全网络，研究了这种网络的时空混沌同步问题.首先给出了复杂网络中连接节点之间的非线性耦合函数的一般性选取原则.进一步基于Lyapunov稳定性定理，理论分析了实现网络同步的条件以及控制增益的取值范围.最后，通过仿真模拟检验了以 ...

Web摘要： Noise and time delay are ubiquitous in various physical and biological systems. In this paper, we studied the phase synchronization and mode transition of oscillation mode induced by time delays and noises in a coupled FitzHugh–Nagumo (FHN) neural system. WebNov 9, 2024 · A question about FitzHugh-Nagumo model. I`ve been trying to built the FitzHugh-Nagumo model with a changeable input,but I failed to make the input changeable and I was unable to figure out why. I defined three variables which I thought they should be the same,but only the variable 'eq1' and the way I put in the comment worked out,the …

Web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 . 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 ...

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 ...

WebJan 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 … ips coronaThe FitzHugh–Nagumo model (FHN), named after Richard FitzHugh (1922–2007) who suggested the system in 1961 and J. Nagumo et al. who created the equivalent circuit the following year, describes a prototype of an excitable system (e.g., a neuron). The FHN Model is an example of a relaxation oscillator because, if the externa… ips convention dharwadWebNov 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 ... ips corp 88436WebJan 1, 2014 · The FitzHugh–Nagumo (FHN) model is a mathematical model of neuronal excitability developed by Richard FitzHugh as a reduction of the Hodgkin and Huxley’s … orca books victoriaWebSep 29, 2024 · We now consider the two-dimensional FitzHugh-Nagumo model, as an example of a reaction-diffusion problem. Because of the nonlinear reaction terms, the … ips corp 11890Web作者：罗晓曙等出版社：科学出版社出版时间：2024-11-00 开本：16开页数：212 字数：252 isbn：9787030629449 版次：1 ，购买复杂神经网络的建模与动力学行为研究电子、电工罗晓曙等新华正版等自然科学相关商品，欢迎您到孔夫子旧书网 ips controller probesWeb2.2 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 orca card disabled veteran