# Determine whether system is chaotic from position history

Suppose I have a particle position history over an interval, i.e., $\mathbf{x}(t)$, where $t \in [t_1, t_2]$, that is the solution to a system that may be chaotic.

An anecdotal, less general, example would be that if $\mathbf{x}(t)$ is a solution to the Lorenz system, for which the parameters are unknown, to determine whether the system is chaotic.

More generally, is it possible to extract the system parameters from the position history alone?

• Just to add that there is a Dynamical Systems chat room where if any one interested in Dynamical systems and chaos theory can join,i admit that it is not so active though. – BAYMAX Sep 3 '17 at 17:23