Predictability: Does the Flap of a Butterfly’s Wings
in Brazil Set off a Tornado in Texas?
ブラジルの1匹の蝶の羽ばたきがテキサスで竜巻を引き
起こす？
Butterfly Effect
バタフライ効果
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Population Model
A model where the population growth rate is proportional to the current population.
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y
t
k=0.1
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y
Equation of motion
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The second derivative is removed.
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y
v
k=1
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Magnetic Pendulum
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Equation of motion
The dot notation represents the time derivative of a function.
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A vector representing the position of the pendulum.
A vector from the pendulum to the magnet.
The strength of returning to the center.
The strength of friction.
The length of a vector.
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Transform the equation.
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No content
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Add D to avoid the denominator becoming zero.
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The second derivative is removed.
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Express the vectors in component form.
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Simulation of a pendulum
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Initial condition sensitivity
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The initial position of the pendulum is color-coded according to which magnet it reaches.