Butterfly Effect : The Chaos Theory Explained Straight and Simple

"You Could not remove a single grain of sand from its place without thereby changing something throughout all parts of the immeasurable whole."
                                                                                                                    - Johann Gottlieb Fichte.


Hey guys, I think many of you come across the word 'Butterfly Effect'. But what it really means?, when was the word coiled? Will be explained here in this article. Those who are new to my blog, just do subscribe. Let's jump into the topic with no more lag.

Theory Of Chaos:

In the theory of Chaos, the Butterfly Effect is sensitive to dependence of initial conditions, in which small changes in one state of a non-linear system can result in large difference in later state. The term is closely related to the work of Edward Lorenz, and it is derived from the metaphorical example, large tornado caused (at exact path and exact time) due to the flapping of butterflies wings at a distant several weeks earlier. Here, large number of small butterflies in Brazil made flapping their wings which ultimately made a consequence of tornado in Texas.

Chaos Theory and the sensitive dependence of later consequences on initial conditions is now more believed. This Effect is also proven by many Philosophers and other Scientists.

AI generated image

Lorenz Discovery:

In 1961, Lorenz was running a numerical computer model to redo a weather prediction from the middle of the previous run as a shortcut. He entered the initial condition 0.506 from the printout instead of entering the full precision 0.506127 value. The result was a completely different weather scenario.

Lorenz wrote:

"At one point I decided to repeat some of the computations in order to examine what was happening in greater detail. I stopped the computer, typed in a line of numbers that it had printed out a while earlier, and set it running again. I went down the hall for a cup of coffee and returned after about an hour, during which time the computer had simulated about two months of weather. The numbers being printed were nothing like the old ones. I immediately suspected a weak vacuum tube or some other computer trouble, which was not uncommon, but before calling for service I decided to see just where the mistake had occurred, knowing that this could speed up the servicing process. Instead of a sudden break, I found that the new values at first repeated the old ones, but soon afterward differed by one and then several units in the last decimal place, and then began to differ in the next to the last place and then in the place before that. In fact, the differences more or less steadily doubled in size every four days or so, until all resemblance with the original output disappeared somewhere in the second month. This was enough to tell me what had happened: the numbers that I had typed in were not the exact original numbers, but were the rounded-off values that had appeared in the original printout. The initial round-off errors were the culprits; they were steadily amplifying until they dominated the solution."

How does the Butterfly Effect Affect Us? 

"The Butterfly Effect" metaphor is simply meant to demonstrate that little, insignificant events can lead to significant results over time. To put it another way, small variances in initial conditions can have profound and widely divergent effects on a system. Such chaotic systems are unpredictable by their very nature.

Finally, I want to say that Butterfly Effect not only means tornado caused because of flapping of butterflies wings in Chaos theory But also it's main intention is that, even small errors or conditions in one state may cause significantly large and unpredictable consequences.

That's for today, please comment your thoughts and don't forget to subscribe to Vigyan Geeks newsletter.

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