用matlab写Hindmarsh-Rose模型的ISI序列关于参数r的分岔分析的代码
时间: 2023-04-06 12:05:13 浏览: 197
我可以回答这个问题。以下是用 Matlab 编写 Hindmarsh-Rose 模型的 ISI 序列关于参数 r 的分岔分析的代码:
```matlab
% 设置参数
a = 1.0;
b = 3.0;
c = 1.0;
d = 5.0;
r_values = linspace(0.01, 0.5, 1000); % 参数 r 取值范围
n = 1000; % 迭代次数
x0 = [0.1; 0.1; 0.1]; % 初始值
% 进行分岔分析
isibif = zeros(length(r_values), n);
for i = 1:length(r_values)
r = r_values(i);
for j = 1:n
x = hindmarsh_rose(x0, r, a, b, c, d);
isibif(i, j) = x(3);
x0 = x;
end
end
% 绘制分岔图
figure;
plot(r_values, isibif, '.', 'MarkerSize', 1);
xlabel('r');
ylabel('ISI');
title('Hindmarsh-Rose Model ISI Bifurcation Diagram');
% Hindmarsh-Rose 模型
function xdot = hindmarsh_rose(x, r, a, b, c, d)
xdot = zeros(3, 1);
xdot(1) = yfunc(x(1), x(2), a, b, r);
xdot(2) = zfunc(x(1), x(2), x(3), a, c);
xdot(3) = -xfunc(x(2), x(3), d);
end
function y = yfunc(x1, x2, a, b, r)
y = -a * x1^3 + b * x1^2 - x2 + r;
end
function z = zfunc(x1, x2, x3, a, c)
z = a - c * x1^2 - x3;
end
function x = xfunc(x2, x3, d)
x = d * (x2 - x3);
end
```
希望这能帮到你!