Numerical methods- Lorenz System Code -- 2

For this assignment, please read the following description I wrote to see if you’re fit for hiring:) Consider the Laurence 3D dynamical system ??(?) = ?(?(?) − ?(?)) ?? ??(?) = ?(?)(? − ?(?)) − ?(?) ?? 1. Find a non-trivial steady state (stationary state) 2. Write a program to solve the system using the Euler explicit method (complete and comment on the provided one which I will send once you accept the assignment) 3. Make simulations for different values of ?, ?, ? and different initial values. Find a set of of ?, ?, ? for which the system has an attractor then: a. Simulate and plot one trajectory only to show convergence b. Simulate and plot at least 4 trajectories to show the existence of attractor . The coordinates have to be from numbers I will give you once the assignment is accepted. { Where ?, ?, ? are parameters ??(?) = ?(?)?(?) − ??(?) ?? c. To show the chaotic character of the system, select two trajectories (two initial values) that start close and then separate considerably to finally join in the attractor 4. Find a set of of ?, ?, ? for which the system has no attractor, show that with one trajectory