An Overview of the Butterfly Effect Theory by Edward Lorenz

When Edward Lorenz decided to run his meteorology test from a halfway point in order to save time he had no idea that he would stumble on one of the largest theories of our time. In 1961 he took the data from a computer printout and entered it into the system. The information he was using was the data sheets from a previous test he had run. Now wanting to shorten the time and reach what he wanted to study sooner he put the data from halfway through the test into the computer and went to go get a cup of coffee. When he returned the test was running at completely different levels. After looking into what could have caused this he discovered that the data he put in was not fully accurate. The computer reads data to the sixth decimal place. However, in order to save paper and space Lorenz had only printed out to the third decimal place. Lorenz had entered .506 and the system was really supposed to see .506127. So when he input the data even though the numbers were only off that thousandths of a point the simulated weather system ended up running into a different output. With theses results Edward Lorenz was able to come up with his theory. Which eventually came to be known as the Butterfly Theory. The flapping of a single butterfly s wing today produces a tiny change in the state of the atmosphere. Over a period of time, what the atmosphere actually does diverges from what it would have done. So, in a month s time, a tornado that would have devastated the Indonesian coast doesn t happen. Or maybe on that wasn t going to happen, does. This theory is also known as Sensitive Dependence on Initial Conditions. A small change in the initial inputs can cause a drastic change in the long-term behavior of the system. However, now that Lorenz had discovered this he wanted to keep studying it.

What he had was twelve equations to explain what he had found. He wanted to simplify those. What he did was make those equations even simpler leaving him with just three equations. Prior to Lorenz s discovery there were only two states. A steady state where variables never change and a periodic behavior where the system repeats itself. Now there was a new state the Lorenz attractor, this is where the variables never settle down to a single point and they never repeat themselves thus not making them periodic. When Lorenz graphed what he found it looked at thought the system just kept looping around. Later on other scientist as well as many other professions started studying chaos theory. One mathematician that did this is named Helge von Koch. Koch decided to look at fractals, specifically what their make up is. When looking at a smooth line it is one dimension and a square is two dimensions. So a fractal takes up more space than a line but not as much as a square. This means that the dimension of a fractal must be between one and two. Koch devised a Koch Curve to explain what he found. To make a Koch curve take an equilateral triangle and to the middle third of each side ad a new triangle and continue to do so. The interesting thing about the Koch curve is that every time new triangles are added the length of the line gets longer. Although the inner area of the curve remains less than the area of a circle drawn around the original triangle. Basically the line has infinite length but is surrounded by a finite area. Fractal has come to be any image that displays the attribute of self-similarity.

Many people have come up with equations to explain fractals. One of the most widely known equations is the Mandelbrot set. The equation Mandelbrot came up with was very simple z=zX+c. Take a number and square it, then add the original number to it. If one repeats this and the number goes up to infinity then it is not part of the Mandelbrot set. If the number stays below a certain point then it is part of the set. Chaos theory has been applied to many different points in the world. I have even run across a paper comparing Marxism to Chaos Theory. However, on of the most interesting things that I have come across is music created using chaos theory. As well as pictures that have been created using the information that is still being studied today. With the use of computers we are able to mathematically work out equations that we previously could not. I am still trying to fully grasp the concept behind chaos theory and what it might be used for in the future. Right now there are some that speculate that the human brain and DNA could be explained using these theories.

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with MyhomeworkGeeks
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Human Resources Management (HRM)
excellent, great job
Customer 452773, June 19th, 2023
thank you so much
Customer 452749, June 10th, 2021
Looks great and appreciate the help.
Customer 452675, April 26th, 2021
Human Resources Management (HRM)
excellent job
Customer 452773, July 17th, 2023
Business and administrative studies
excellent job
Customer 452773, March 12th, 2023
Human Resources Management (HRM)
excellent job
Customer 452773, June 25th, 2023
Social Work and Human Services
Great work I would love to continue working with this writer thought out the 11 week course.
Customer 452667, May 30th, 2021
Business and administrative studies
excellent, got a 100
Customer 452773, May 17th, 2023
Love this writer!!! Great work
Customer 452597, April 5th, 2021
Business and administrative studies
Excellent job
Customer 452773, March 17th, 2023
Business and administrative studies
looks good thank you
Customer 452773, March 3rd, 2023
Business and administrative studies
excellent job! got an A, thank you
Customer 452773, May 24th, 2023
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat

Sometimes it is hard to do all the work on your own

Let us help you get a good grade on your paper. Get professional help and free up your time for more important courses. Let us handle your;

  • Dissertations and Thesis
  • Essays
  • All Assignments

  • Research papers
  • Terms Papers
  • Online Classes
Live ChatWhatsApp