The Butterfly Effect

This is one of my favourite quotes;
“It has been said something as small as the flutter of a butterfly’s wing can ultimately cause a typhoon halfway around the world. – Chaos Theory ”

I secretly like the movie and the idea that whatever you do can have an affect on something half way across the world just makes you think about every action you make. Relating to the movie, “The butterfly effect is a metaphor that encapsulates the concept of sensitive dependence on initial conditions in chaos theory; namely that small differences in the initial condition of a dynamical system may produce large variations in the long term behavior of the system. The butterfly effect is a common trope in fiction when presenting scenarios involving time travel and with “what if” cases where one storyline diverges at the moment of a seemingly minor event resulting in two significantly different outcomes.”

Relating to math, “Recurrence, the approximate return of a system towards its initial conditions, together with sensitive dependence on initial conditions are the two main ingredients for chaotic motion. They have the practical consequence of making complex systems, such as the weather, difficult to predict past a certain time range (approximately a week in the case of weather), since it is impossible to measure the starting atmospheric conditions completely accurately.”

Lorenz Attractor