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The Biggest Secret Ever

The flapping wing represents a small change in the initial condition of the system, which causes a chain of events leading to large-scale phenomena.

Why Bother With A Blog

The purpose of this blog is to demonstrate how a personal / editorial blog can tie into your business website. A blog can have a ripple effect. It will enhance your business website, provide a place for your creativity and fresh content. A nicely crafted blog will make your business site more interesting without compromising your formal branding. Another important benefit is that, if you have an interesting blog that cross-references your business website, it should boost your business website up the search engine results list.

The butterfly effect is a phrase that encapsulates the more technical notion of sensitive dependence on initial conditions in chaos theory. Small variations of the initial condition of a nonlinear dynamical system may produce large variations in the long term behavior of the system. So this is sometimes presented as esoteric behavior, but can be exhibited by very simple systems: for example, a ball placed at the crest of a hill might roll into any of several valleys depending on slight differences in initial position.

The phrase refers to the idea that a butterfly's wings might create tiny changes in the atmosphere that ultimately cause a tornado to appear (or prevent a tornado from appearing). The flapping wing represents a small change in the initial condition of the system, which causes a chain of events leading to large-scale phenomena. Had the butterfly not flapped its wings, the trajectory of the system might have been vastly different.

Recurrence, the approximate return of a system towards its initial conditions, together with sensitive dependence on initial conditions are the two main ingredients for chaotic motion. They have the practical consequence of making complex systems, such as the weather, difficult to predict past a certain time range (approximately a week in the case of weather).

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