Stochastiv vs. deterministic
> "Stochastic" means it evolves over time in a deterministic way.
Sorry, but no. Just... no. Stochastic is non-deterministic. Chaotic is deterministic, trajectories of chaotic systems can be described by ordinary differential equations, and knowing the initial state exactly means we can (in theory) predict the exact trajectory forward in time. Unfortunately we cannot know the state exactly, and the uncertainties in state space increase exponentially in time. Thus, there is some limit time after which our forecast is completely uncertain and smeared out over the attractor of the system. There are some cases where it does not matter, any chaotic system observed with sufficiently low temporal resolution appears to be stochastic and can be modeled as such.