Chaotic Attractors: Proving Fractals Exist

[Sagar_C]

I am little confused about the right place to ask this question but anyway here it goes: How can one convince oneself that (if at all it is true) chaotic attractors always are fractals? Thanks in advance.

P.S.: Little bit of googling suggested that there are examples of non-strange chaotic attractors for discreet maps, hence my question is ill-posed for maps but what about the continuous dynamical systems?

 

[K41]

Well one place to start would be to look at 2 dimensional continuous systems and see if you find any strange attractors there because chaos requires 3 dimensions for continuous systems. Not sure how you would approach proving or disproving anything though.