There are many formal definitions of an ergodic mechanical system. 1) A system whose time average equals the ensemble (space) average. 2) A system that visits every point in its phase space. Etc. What are some actual, real examples of an ergodic mechanical system? Also, since a chaotic system approaches an attractor and does not visit all of its phase space, then a chaotic system is not ergodic. Is this a correct statement?