Levy flights

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https://www.cnblogs.com/WhiskeyLover/p/7822013.html

之前研究布谷鸟算法,一直在找levy飞行轨迹代码实现,一直没找到就自己写了一个

x = [0,0];

y = [0,0];

beta = 3/2;

alpha_u = (gamma(1+beta)*sin(pi*beta/2)/(gamma((1+beta)/2)*beta*2^((beta-1)/2)))^(1/beta);

alpha_v = 1;

for i=1:1000

u = alpha_u*randn(1);

v = alpha_v*randn(1);

s = u/(abs(v))^(1/beta);

x(:,1) = x(:,2);

x(:,2) = x(:,1)+1*s;

u = alpha_u*randn(1);

v = alpha_v*randn(1);

s = u/(abs(v))^(1/beta);

y(:,1) = y(:,2);

y(:,2) = y(:,1)+1*s;

plot(x,y);

hold on;

end

axis square;

迭代1000次的结果


https://images2017.cnblogs.com/blog/1277027/201711/1277027-20171112164938575-800538750.jpg