Lorenz Attractor Matlab Problem - Help

Can anyone help with the problem bellow? I´m kind of new using matlab and the exercise bellow is giving lots of trouble to implement...

Given the lorenz equations

and the parameters sigma =10; beta=8/3 and rho=k*pace where k=0,1,2... and the pace is arbitrary,

a-)write a function to solve the system and obtain the variables xyz of the system. also, plot the solutions x vs t, y vs t and z vs t.

b-) obtain the fixed points of the lorenz system

c-) how many fixed points are there?

d-) find the stable and instable points

e-) given the lorenz system and parameters above, study the fixed points stability for rho > 0. For that, write a program in which the fixed points are obtained as a function of r and the eigen-values must be obtain using the matlab function "lam=eig(J)"

Thanks! Hope anyone can help me out hehe

[Azzi Abdelmalek]

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