Assignment

Lorenz Attractor

Simulate the Lorenz system and explore its sensitivity to initial conditions.

Required

Implement the Lorenz ODE and simulate with Euler’s method.
Plot the 3D trajectory.
Run two simulations with slightly different initial conditions and compare.

Extra Mile (Optional)

Try different parameter values \((s, r, b)\) and describe changes.
Use a smaller \(dt\) and compare trajectories.

Good luck and enjoy your coding!

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title: "Assignment"
subtitle: "Lorenz Attractor"
format: html
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Simulate the Lorenz system and explore its sensitivity to initial conditions.

## Required

1. Implement the Lorenz ODE and simulate with Euler's method.
2. Plot the 3D trajectory.
3. Run two simulations with slightly different initial conditions and compare.

## Extra Mile (Optional)

- Try different parameter values $(s, r, b)$ and describe changes.
- Use a smaller $dt$ and compare trajectories.

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**Good luck and enjoy your coding!**