# Is there a line?

1. Jul 27, 2004

### Mk

Is there a line between chaotic and not chaotic?

2. Jul 27, 2004

### HallsofIvy

Yes, but it is fractal!

3. Jul 29, 2004

### Mk

That would mean?

4. Jul 29, 2004

### KrazyIBKid

i think he means it is a moot point, or that there is such a fine line that it is fractional*(which is what i think he meant to say)

HallsofIVY where is annandale VA anyways?.. must be a small town like dinwiddy but im southeastern in Chesapeake

5. Jul 29, 2004

### turin

I think he was making a pun.

6. Jul 30, 2004

### Gza

a play on words.

Last edited: Jul 30, 2004
7. Jul 30, 2004

### Njorl

The line between chaotic and non-chaotic exists, but is not absolute.

If the evolution of the state of a system can be predicted from its initial conditions, it is not chaotic. If it can't be predicted it is chaotic.

Is weather chaotic? If you want to predict it for the next month, it certainly is. If you want to predict it for the next 5 seconds, it is not.

Asking if something is chaotic is much like asking if something is heavy. Yes, there is a line between heavy and light, but where that line is drawn is situational.

Njorl

8. Jul 30, 2004

### HallsofIvy

A "fractal" is a set having fractional dimension. Yes, it was a play on words but does have a certain meaning. "Chaotic" mechanics leads to fractal sets- the "attracting sets" are fractal.

Annandale, Va, is a suburb of Washington, D. C. near Alexandria.

9. Jul 31, 2004

### Mk

Thank you, HallsofIvy.

10. Jul 31, 2004

### Gokul43201

Staff Emeritus
Is this not the difference between dynamical systems that are nonlinear and those that are linear ?

11. Aug 1, 2004

### somy

sorry ;
but what is the story???!!!
I mean what does the first question mean???!!!