Looping through a result

Hey everyone, I have the variables P_initial and V_initial which are initial conditions given and use to compute the G_initial. After this, on each iteration G_ith is multlpied by a factor delta and this new G_ith is used to compute V_ith and P_ith. How can I create a loop that after the first evalaution of G_inital used this result to compute P_2, V_2 which later on I use this values to compute G_2 and so on? What I am trying to do is shown in the image

Thanks

Answer 1

[KSSV]

N = 100 ;  % total steps 
delta = rand ;  % delta 
x = zeros(N,1) ; 
y = zeros(N,1) ;
% a randpom intial value
x(1) = rand ;  
y(1) = rand ; 

for k = 2:N
    x(k) = x(k-1)+delta*y(k-1) ;
    y(k) = y(k-1)-delta*x(k) ;
end