I was reading this article on Hyperbolic dynamics, in which I came across the line "deterministic chaos - the appearance of chaotic motions in purely deterministic dynamical systems".

Hence I wonder if there exists situations or examples where chaotic motion can occur in non-deterministic dynamical systems?

  • For example Brownian motion and higher dimensional random walks. Non-Lipschitz, a positive probability for any steepness of secant slopes, in a general sense self-similar,... If that is not sufficient, please give more conditions on what you consider here as "chaotic". – LutzL Jul 20 at 11:40

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