Question

what is the meaning of the Chaos?

Answer 1

i mean chaos theory..

Answer 2

cha·os [káy òss]
noun
1. disorder: a state of complete disorder and confusion
2. Cha·oscosmology earliest condition of universe: the unbounded space and formless matter supposed to have existed before the creation of the universe
3. physics apparent disorder: the unpredictability inherent in a system such as the weather, in which apparently random changes occur as a result of the system's extreme sensitivity to small differences in initial conditions


[15th century. Directly or via French < Latin < Greek khaos "void, abyss"]

Answer 3

What is the relationship of chaos and Fractal?

Answer 4

Fractals are perfect mathematical things, chaos does not create orderly things, and is more physicsy.

Answer 5

For an example, the Mandelbrot set is a fractal when graphed, but just says whether or not a complex number, z, converges when a function is iteratively performed on it: \[ c \rightarrow (z+c) \] to make z+(z+(z+(...))). Chaos theory is Newtonian physists throwing up their hands and saying 'in principle this is deterministic, but we do not have the equipment precise enough to measure the initial conditions well enough to predict perfectly what will happen. In theory, though, we could'.

Actually, fractals turn up in biology much more (to my knowledge) than physics, especially in evolution, where such arrangement is very good for getting the most sunlight or nutrients.