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butterfly_effect/butterfly_effect_in-house

Avatar for florets1 florets1
October 12, 2024
Science
330
1

 butterfly_effect/butterfly_effect_in-house

Avatar for florets1

florets1

October 12, 2024

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Transcript

  1. 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

  2. Population Model A model where the population growth rate is

    proportional to the current population.

  3. y t k=0.1

  4. y Equation of motion

  5. The second derivative is removed.

  6. y v k=1

  7. Magnetic Pendulum

  8. Equation of motion The dot notation represents the time derivative

    of a function.

  9. 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.

  10. Transform the equation.

  11. None

  12. Add D to avoid the denominator becoming zero.

  13. The second derivative is removed.

  14. Express the vectors in component form.

  15. Simulation of a pendulum

  16. Initial condition sensitivity

  17. The initial position of the pendulum is color-coded according to

    which magnet it reaches.
  18. None
  19. None