Day 26 - Homework Session

Day 26 - Homework Session#

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Announcements#

  • Midterm 1 is still being graded

  • Homework 6 is due Friday

  • Homework 7 is posted, due next Friday

  • No office hours today

Next Week#

Chaos#

  • Monday: The Duffing Equation and Period Doubling

  • Wednesday: The Lorenz System and Strange Attractors

  • Resources you have:

    • Numerical integration codes

    • Plotting codes

    • Phase space plotting codes

Duffing Equation#

\[\ddot{x} + \beta \dot{x} + \alpha x + \gamma x^3 = F_0 \cos(\omega t)\]

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Lorenz System#

\[\dot{x} = \sigma (y - x)\]
\[\dot{y} = x (\rho - z) - y\]
\[\dot{z} = x y - \beta z\]

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