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  • Oct 13, 2026, 7:06 PM
    retooted blinry

    #mathober day 13: Standard Map

    Imagine a 2D pendulum in zero gravity. Pick an initial angle and momentum. Then, at regular intervals, "kick" the end of the pendulum forward with strength sin(angle). This is a very simple system that exhibits chaotic behavior!

    If you place a dot on a diagram after each kick according to the current angle (x-axis) and momentum (y-axis), you get the "standard map". Here is an artist's impression for kick-strength 0.971635!

    #mathober2026 #math #chaostheory

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