butterfly_effect/butterfly_effect_in-house

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.
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.