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Vectorized Integration and the Lorenz Equation

Steve Brunton via YouTube

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This lecture explains chaos in the Lorenz system, focusing on uncertainty in initial conditions and exponential divergence. It demonstrates fixed-step Runge–Kutta integration and vectorized MATLAB simulations of many trajectories.

Syllabus

Homework
Function handles
Chaos
Exponential divergence
Turbulence
Gravity
Uncertainty
Phil Holmes
Insect locomotion
Uncertainty in initial conditions
Sim Lorentz slow
Mesh grid
Visualizing data
Nested for loop
Running the code
Vectorized operations
Lorentz 3D
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Taught by

Steve Brunton

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