Who can tell me something about the butterfly effect ~ ~'

Nonlinear, commonly known as "butterfly effect".

What is the butterfly effect? Let's talk about the discovery of Lorenz, a meteorologist at MIT. In order to forecast the weather, he solved the 13 equation simulating the earth's atmosphere by computer. In order to check the results more carefully, he took out an intermediate solution, improved the accuracy and sent it back. And when he came back to watch it after drinking a cup of coffee, he was surprised: it was a little short, but the result was a hundred thousand miles short! There was nothing wrong with the computer, so Lorenz decided that he had discovered a new phenomenon: "extreme instability to the initial value", namely "chaos", also known as "butterfly effect". The flapping of Asian butterflies will make a tornado worse than strong winds appear in the United States in a few months!

This discovery is so serious that scientists don't understand it, and several scientific journals also refuse to publish his articles, thinking that it is "against common sense": if similar initial values are substituted into some equations, the results should be similar, how can they be far apart!

Linearity refers to the proportion and linear relationship between quantity and quantity, representing regular smooth motion in space and time; Nonlinear refers to the non-proportional and nonlinear relationship, which is characterized by irregular movement and mutation. For example, how many times is the eyesight of two eyes more than that of one eye? It's easy to think it's twice, but it's actually 6- 10! This is nonlinearity: 1+ 1 is not equal to 2.

The generation of laser is nonlinear! When the applied voltage is small, the laser is like an ordinary electric lamp, and the light scatters in all directions; When the applied voltage reaches a certain value, a new phenomenon will suddenly appear: the excited atoms seem to hear the command of "align to the right" and emit monochromatic light in the same phase and direction, that is, laser.

The characteristic of nonlinearity is that it spans all professions and permeates all fields, which can be said to be "everywhere".

For example, there is chaos in celestial motion; The oscillation of electricity, light and sound waves will suddenly fall into chaos; The geomagnetic field changed direction 16 times in 4 million years, also because of chaos. Even human beings are inherently nonlinear: contrary to traditional thinking, the EEG and heartbeat of healthy people are not regular, but chaotic, and chaos is the expression of vitality. Chaotic systems respond faster to external stimuli than non-chaotic systems.

It can be seen that nonlinearity is around us and can't be hidden.

1979 12, Lorenz pointed out in a speech of the American Association for the Advancement of Science in Washington that a butterfly flapping its wings in Brazil may cause a tornado in Texas. His speech and conclusion left a deep impression on people. Since then, the so-called "butterfly effect" has spread like wildfire, and its reputation has spread far and wide.

The reason why the butterfly effect is fascinating, gripping and thought-provoking lies not only in its bold imagination and charming aesthetic color, but also in its profound scientific connotation and inherent philosophical charm.

Chaos theory holds that in a chaotic system, very small changes in initial conditions, after constant amplification, will cause great differences in its future state. We can use a folk song circulating in the west to illustrate this image. This ballad says:

Drop a nail and break a shoe;

Broke a shoe and a horse;

Fold a horse and hurt a knight;

Wounded a knight and lost a battle;

Lost a battle and lost an empire.

Whether a nail on the horseshoe will be lost is a very small change in the initial conditions, but its "long-term" effect is the fundamental difference between the life and death of an empire. This is the so-called "butterfly effect" in the field of military politics.

It's a little incredible, but it can really cause such bad consequences. A wise leader must prevent procrastination, but seemingly trivial things may lead to disintegration within the collective. Is it too late to regret at that time?

A suspension bridge across a deep valley usually begins with a small stone tied to a thin line.