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butterfly_effect/butterfly_effect_in-house
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florets1
October 12, 2024
Science
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butterfly_effect/butterfly_effect_in-house
florets1
October 12, 2024
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Transcript
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
Population Model A model where the population growth rate is
proportional to the current population.
y t k=0.1
y Equation of motion
The second derivative is removed.
y v k=1
Magnetic Pendulum
Equation of motion The dot notation represents the time derivative
of a function.
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.
Transform the equation.
None
Add D to avoid the denominator becoming zero.
The second derivative is removed.
Express the vectors in component form.
Simulation of a pendulum
Initial condition sensitivity
The initial position of the pendulum is color-coded according to
which magnet it reaches.
None
None