% 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...
FitzHugh–Nagumo system: boundedness and convergence to equilibrium. J. Differential Equat. , 44(3):400–413, 1982. MATH MathSciNetOrlando Lopes.FitzHugh-Nagumo system: Boundedness and convergence to equilibrium. Journal of Differential Equations . 1982...
于Fi七ZHugh一Nagumo系统不同频率的周期波。 关键词:行波解中心流形焦点量极限环 ABSTI之ACT HoPfBifureationofTravelingSolutionofFitzHugh一Nagumo System ABSTRACT In七his七hesis,研mainlys七udyHoPfbifurea七ionof七r珊lingw盯esolu七ionof Fi七zHugh一Nagumosys七em.When研eonsider七r珊lingw珊,Fi七zHugh一...
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...
Abstract: Discussed the characteristics of FitzHugh Nagumo system and simu lation of several behavior using matlab programm ing for the noise excited F itzHugh Nagumo system mode,l .i e. , system can be st imu lated by the noise excitat ion from the lim it cycle to the focus; Lyapunov ex...
FitzHugh Nagumo 模型的两种多峰分布放电节律 上述研究初步表明自治多峰混沌节律 自治整 数倍节律在表观上有明显差异 由于真实神经元总 是受传入信号作用 神经元对激励做出不同响应的 动力学机理更具有生物学意义 目前对由外激励诱 发的随机整数倍节律和混沌多峰节律间的区别与联 系还不明确 也不清楚这些节律在...
1) FitzHugh-Nagumo neural system FHN神经元系统 1. We investigated theFitzHugh-Nagumo neural systemdriven by non-Gaussian noise. 研究了非高斯噪声激励下的FHN神经元系统,应用路径积分法和统一色噪声近似得到系统的定态概率密度函数和平均首次穿越时间表达式。
We construct clustered spots for the following FitzHugh–Nagumo system: ε 2 Δ u + f ( u ) - δ v = 0 in Ω , Δ v + u = 0 in Ω , u = v = 0 on Ω ,where Ω is a smooth and bounded domain in R 2. More precisely, we show that for any given integer K, there exi...
Lu, "Synchronization control for reaction-diffusion FitzHugh-Nagumo systems with spatial sampled-data," Automatica, vol. 93, pp. 352-362, 2018.J. Crevat, G. Faye, and F. Filbet. Rigorous derivation of the nonlocal reaction-diffusion fitzhugh-nagumo system. arXiv:1804.01263, 2018....
Two-dimensional FHN neural systemLévy noisenoise-induced transitionstochastic resonanceIn this paper, the steady state characteristics and stochastic resonance (SR) in two-dimensional FitzHugh–Nagumo (FHN) neuron system driven by Lévy noise are studied. The system is simulated by Janicki–Weron ...