Matlab for neuroscientists || exploring the fitzhugh-nagumo modelWallisch, Pascal
% 4th order Runge-Kutta integrator for FitzHugh-Nagumo system with external input: for n=1:ll-1; xx=x0(:,n); for i=1:nn k1=dt*FitzHughNagumo_int(xx,z(n)); k2=dt*FitzHughNagumo_int(xx+k1/2,z(n)); k3=dt*FitzHughNagumo_int(xx+k2/2,z(n)); k4=dt*FitzHughNagumo_int(xx+k...
ll); x0(:,1)=[0; 0]; % true trajectorydt=.1*dT; nn=fix(dT/dt); % the integration time step is smaller than dT% External input, estimated as parameter p later on:z=(1:ll)/250*2*pi; z=-.4-1.01*abs(sin(z/2));% 4th order Runge-Kutta integrator for...
摘要: 讨论了 F itzHugh Nagumo的系统特性, 用 Matlab 的编程功能仿真 F itzHugh Nagumo系统在噪声 激励下的几种性态: 系统可以在噪声激励下由极限环变为焦点; 足够大的噪声可以使系统的 Lyapunov 指数收敛。因此, M atlab可以描述 F itzHugh Nagumo系统的非常有规律的动力学行为, 提高了学生的实 践编程能力,...
It helps in learning how to compute a second derivative in the MATLAB® software and use a modification of the Fitzhugh- Nagumo model. The Fitzhugh-Nagumo model is often used as a generic model for excitable media because it is analytically tractable. It as a simple model to generate ...
∗∗于蓉蓉ꎬ女ꎬ１９８５年３月生ꎬ河南省南阳市卧龙区人ꎬ汉族ꎬ西京学院理学院副教授ꎬ硕士ꎬ主要从事非线性动力学及同步控制ꎬ隐藏吸引子的研究ꎮ时间延迟下ＦｉｔｚＨｕｇｈ￣Ｎａｇｕｍｏ振子的动力学行为与同步研究∗ ＤＹＮＡＭＩＣＢＥＨＡＶＩＯＲＡＮＤＳＹＮＣＨＲＯＮＩＺＡＴ...
In this chapter we will use the techniques of phase plane analysis to analyze a simplified model of action potential generation in neurons known as the Fitzhugh-Nagumo (FN) model. Unlike the Hodgkin-Huxley model, which has four dynamical variables, the FN model has only two, so the full ...
FitzHugh-Nagumo模型动力学行为讨论了FitzHugh-Nagumo的系统特性,用Matlab的编程功能仿真FitzHugh-Nagumo系统在噪声激励下的几种性态:系统可以在噪声激励下由极限环变为焦点;足够大的噪声可以使系统的Lyapunov指数收敛.因此,Matlab可以描述FitzHugh-Nagumo系统的非常有规律的动力学行为,提高了学生的实践编程能力,达到机器学习的...
FitzHugh-Nagumo模型动力学行为讨论了FitzHugh-Nagumo的系统特性,用Matlab的编程功能仿真FitzHugh-Nagumo系统在噪声激励下的几种性态:系统可以在噪声激励下由极限环变为焦点;足够大的噪声可以使系统的Lyapunov指数收敛.因此,Matlab可以描述FitzHugh-Nagumo系统的非常有规律的动力学行为,提高了学生的实践编程能力,达到机器学习的...
A delay-independent stability and bifurcation conditions for the fractional-order delay-coupled FitzHugh–Nagumo neural model is acquired. By designing a proper P D p controller, we can efficaciously control the stability domain and the time of emergence of the bifurcation phenomenon of the ...