MATLAB PROJECT

Objectives:
1. Numerical demonstration of Lorenz attractors
Work:
Lorenz attractor
Consider the Laurence 3D dynamical system
Where are parameters

1. Write a program to solve the system using the Euler explicit method (complete and comment the provided one). No code from internet will be accepted this is plagiarism. (2pts)
2. 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 3 trajectories to show the existence of attractor
c. Select two trajectories (two initial values) that start close and then separate considerably to finally join in the attractor
3. Find a set of of for which the system has no attractor, show that with one trajectory
4. Put all results in the same file with comments.
(1pts)

What to submit:
1. The Lorenz code (with group names inside)
2. Word file containing
Plotted graphs for Lorenz systems solutions (for different initial values and for different parameters Comments.

• Use the provided word template.
• Don’t copy programs from internet, I need to see your work.
Note: Marks will be deducted for uncommented and non-running codes (codes with bugs) (programs), and non-respect of submission requirements.