Note on chaos and diffusion
  Using standard definitions of chaos (as positive Kolmogorov-Sinai entropy) and diffusion (that multiple time distribution functions are Gaussian), we show numerically that both chaotic and nonchaotic systems exhibit diffusion, and hence that there is no direct logical connection between the two properties. This extends a previous result for two time distribution functions. 
C. P. Dettmann (University of Bristol, UK) and E. G. D. Cohen   (Rockefeller University, New York)