1. Lorenz System Vanessa Salas
a slide with the title, your name, and a large, descriptive still image.
Lorenz System
Vanessa Salas

2. LORENZ Attractor
The Lorenz system is a ODE – Ordinary differential equation first studied by Edward Lorenz. Which describes the motion of a fluid between two layers at different temperature. Specifically, the fluid is heated uniformly from below and cooled uniformly from above.
While the Lorenz attractor is a set of solution that looks pretty chaotic it is a DETERMINISTIC system and not solutions are chaotic.
Sensitive to the initial conditions, two initial states no matter how close will diverge, usually sooner rather than later.
1. 3 differential equations:
dx/dt = σ * (y-x)
dy/dt = x * (⍴-z) - y
dz/dt = x * y – b * z
2. Set starting pts & take Lorenz derivative over time t
3. Set up arrays for the lines and pts & set up axis
4. Plot the background for each frame.
5. Animate it, 2 time steps per frame
means that trajectories cannot cross or merge, hence the two surfaces of the strange attractor can only appearto merge.
A fractal is a set of points with zero volume but infinite surface area

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