It has been said that something as small as the flutter of a butterfly's wing can ultimately cause a typhoon halfway around the world.
The butterfly effect is a tenant to the Chaos theory. Chaos can be described as disorientated or random behavior based on initial circumstances. In scientific jargon the term “chaos” does not carry a negative connotation, instead the unpredictable behavior that it relates with is desirable. The Chaos Theory is a mathematical sub-discipline that studies complex systems, Such as the earth's weather systems or the migratory patterns of birds.
Chaos is everywhere, from nature's most intimate considerations to an art form of any kind. The Chaos theory defines large complex systems, namely systems that are in such varying and constant motion that computers are required to calculate the varying possibilities for their outcomes. The butterfly effect simply describes how small unrelated behavior based on initial conditions can ultimately affect large these complex systems.
The concept of the butterfly effect is attributed to Edward Norton Lorenz, a mathematician and meteorologist. Lorenz was running global climate models on his computer one day and, hoping to save himself some time, ran one model from the middle rather than the beginning. The two weather predictions, one based on the entire process, and another based on a portion of the data, diverged drastically.
Lorenz had expected the models to remain similar but tiny, unpredictable variations caused the two models to differ. This diagram illustrates the two systems and how they diverged. Intrigued by the results, Lorenz began creating a mathematical explanation that would show that large complex systems are dependent on small variables. To simplify his findings, Lorenz coined the butterfly explanation that has since become so widely known. This diagram shows two objects that start at the same point but diverge differently due to random