Chaos And Fractals

Fractal:
It is an object semigeométrico basic structure, fragmented, or irregular, repeated at different scales. The term was proposed by the mathematician Benoit Mandelbrot in 1975 and derives from the Latin: scud, which means broken or fractured. Many natural structures are fractal.

A Fractals are attributed the following characteristics:

- It is too irregular to be described in traditional geometric terms.

- Has details on any scale of observation.

- It is self-similar (exact, approximate or statistical.)

- The Hausdorff Besicovitch dimension is strictly greater than its topological dimension.

Chaos:

Theory Before analyzing the foundations of this theory is important to delve into what it really means Chaos. The word "chaos" comes from the Greek "Khaos" and means open pit or abyss. Over time the interpretations of the word have changed to the point of having different interpretations depending on the area where you are. For any average person the chaos could be defined with the definition found in any dictionary.

Chaos...Confusion, disorder.

It is the popular name for the branch of mathematics, physics and other sciences that deals with certain types of dynamic systems are very sensitive to variations in initial conditions. Small variations in these initial conditions, can mean big differences in future behavior, complicating long-term prediction. This happens even though these systems are deterministic, ie, their behavior is completely determined by its initial conditions.