So I am working through the Lorenz Equations and have run into a road block that has stumped me all day, I have turned to my beloved internet for help again.
So I have managed to work through the system of equ.
and have used θ=10 and b=8/3... I know original... which gives me this matrix:::
Now I get stumped on producing the right the eigenvectors, which is a laborious process most of the time but it was beyond me today...
anyways, Eigenvalues are
λ= (-11-(81+40r)^(1/2))/2 and
Duhhh... this is easy but when I use λ= -8/3
I do not get the ε=(0,0,1) which my solutions say I should get....
Instead I get something like:
I am so very lost....Could someone please point me in the right direction.