Sunday, September 19, 2010

Characteristics of Chaos

1.  Butterfly Effect
The butterfly effect is a metaphor that encapsulates the concept of sensitive dependence on initial conditions in chaos theory; namely that small differences in the initial condition of a dynamical system may produce large variations in the long term behavior of the system. Although this may appear to be an esoteric and unusual behavior, it is 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 butterfly effect is a common trope in fiction when presenting scenarios involving time travel and with "what if" cases where one storyline diverges at the moment of a seemingly minor event resulting in two significantly different outcomes.


2. Unpredictable
Chaotic system is totally unpredictable. We can prove it by doing the Chaos Game Dots. We can't know what number will be shown by the dice in the next step and so on.

3. Instability
Chaos also has a characteristic called instability. It means that chaos is easily change. Take for example if we build a tower from a deck of card. It won't be 100 % stable. It can be ruined easily with a simple softly wind.



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