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Q: The Butterfly Effect - Real Examples ( Answered ,   0 Comments )
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 Subject: The Butterfly Effect - Real Examples Category: Relationships and Society > Relationships Asked by: dtnl42-ga List Price: \$25.00 Posted: 09 Apr 2005 02:16 PDT Expires: 09 May 2005 02:16 PDT Question ID: 507111
 ```I know what it is - a small event one side of the world can have a direct impact on an event happening on the other side - I am wondering if you know of any real examples to illustrate it```
 ```Hi dtnl42, Thank you for a very interesting question to research. The following is the result of my research: "In 1960 a meteoroligist named Edward Lorenz was researching into the possibilities of long term weather prediction. He created a basic computer program using mathematical equations which could theoretically predict what the weather might be. One day he wanted to run a particular sequence again, and to save time he started it from the middle of the sequence. After lettin gthe sequence run he returned to find that the sequence had evolved completely different from the original. At first he couldn't comprehend such different results but then realised that he had started the sequence with his recorded results to 3 decimal places, whereas the computer had recorded them to 6 d.p. As this program was theoretically deterministic we would expect a sequence very close to the original, however this tiny difference in initial conditions had given him completely different results. This sensitivity to initial conditions became known as The Butterfly Effect. This is because it compares to the idea that a butterfly flapping its wings could produce a tiny change in the atmosphere, and trigger a series of changes which could eventually lead to a hurricane on the other side of the world. The Butterfly Effect is a key characteristic to a choatic system." Chaos In Our Lives ================== Although Chaos Theory may appear to be an abstract concept within modern science, it has many applications within our lives. *One washing machine manufacturer has used chaotic motion to improve the performance of their machines. A tiny pump vibrates with chaotic cycles to stir the water more efficiently. *The stock market is a good example as although it is somewhat random it does follow trends ie. has a ordered structure. *Weather forecasting is chaotic, as we know from Lorenz's discoveries. *The human heart also has a chaotic pattern. The time between beats doesn't remain constant but also depends on a persons activity and stress. This analysis of the heartbeat can help medical researchers in controlling irregular heartbeats. *The solar system contains many chaotic patterns. *The motion of gas in a vacuum is chaotic. Although the particles are flying everywhere, they follow structure and pattern. *Fractals are used to produce many of the modern computer art we see in latest films. Source: University of Bath: Chaos Theory http://people.bath.ac.uk/ma3mbc/Chaostheory.html "The 'Butterfly Effect': This is one of the catch phrases of chaos theory. It refers to sensitive dependence on initial conditions. In nonlinear systems, making small changes in the initial input values will have dramatic effects on the final outcome of the system. A butterfly flaps its wings and the weather changes in China. This is one of the catch phrases of chaos theory, called the butterfly effect. It refers to sensitive dependence on initial conditions. In nonlinear systems, making small changes in the initial input values will have dramatic effects on the final outcome of the system. Theories abound as to real-life examples of this phenomenon: 1. The weather: small changes in weather effect larger patterns. 2. The stock market: slight fluctuations in one market can effect many others. 3. Biology: A small change in a virus in monkeys in Africa creates a "thunderstorm" of an effect on the human population around the world with the appearance of the AIDs virus. 4. Evolution: small changes in the chemistry of the early Earth gives rise to life. 5. Psychology: Thought patterns and consciousness altered by small changes in brain chemistry or small changes in physical environmental stimuli. The butterfly effect occurs under two conditions: 1. The system is nonlinear. 2. Each state of the sytem is determined by the previous state. In other words, the output at each moment is repeatedly entered back into the system for another cycle through the mathematical functions that determine the system." Source: Crystalinks: CHAOS http://www.crystalinks.com/chaos.html Here are some real-life examples of the Butterfly Effect and the Chaos Theory: CHAOS WASHING MACHINE http://library.thinkquest.org/3120/text/washmach.htm STOCK MARKET CHAOS http://library.thinkquest.org/3120/stock_market.html THE COASTLINE OF BRITAIN http://library.thinkquest.org/3120/text/britain.htm LONG RANGE FORECASTING http://library.thinkquest.org/3120/text/weather.htm GAS CHAMBER http://library.thinkquest.org/3120/text/gas.htm SOLAR SYSTEM CHAOS http://library.thinkquest.org/3120/text/solarsys.htm THE LORENZIAN WATERWHEEL http://library.thinkquest.org/3120/text/wwheel.htm Source: ThinkQuest: In A World Of Order Chaos Reigns http://library.thinkquest.org/3120/main_content.html http://library.thinkquest.org/3120/realife.html Some interesting reading on The Butterfly Effect: Marc Perkel: The Butterfly Effect http://www.perkel.com/nerd/butterflyeffect.htm Ian McFadyen: CHAOS AND SOCIAL PREDICTION http://members.ozemail.com.au/~imcfadyen/chaos.htm Multiworld: When a Butterfly Flaps its Wings http://sunsite.nus.edu.sg/mw/iss06/fract.html SpinChaos: Chaos And It's Relation to the Cosmos http://members.aol.com/SpinChaos/PageChaos.html California Institute of Technology - Michael Cross: The Butterfly Effect http://www.cmp.caltech.edu/~mcc/chaos_new/Lorenz.html Fortune City: The Butterfly Effect http://www.fortunecity.com/emachines/e11/86/beffect.html John Hopkins University - Larry Bradley: The Butterfly Effect http://www.pha.jhu.edu/~ldb/seminar/butterfly.html Search criteria: "The Butterfly Effect" "The Butterfly Effect" examples "The Butterfly Effect" "real life examples" I hope the information provided is helpful. If you have any questions regarding my answer please don't hesitate to ask before rating. Best regards, Rainbow```