Talk:Dynamical system

discrete dynamical systems?

The term discrete dynamical system redirects here, but there is (almost) no discussion of the topic here. Would be nice for somebody to write it. Dmharvey Talk 19:43, 5 July 2005 (UTC)

Definition, again

I changed the definition back. A dynamical system is a smooth function from a manifold to itself dependent on one parameter, time. While the manifold could be replaced by a more general set, loosing smoothness takes one to ergodic theory or symbolic dynamics. The parameter needs to be a monoid traditionally written in additive form. One could just formalize that definition, but the challenge is to re-write it so that someone with high school mathematics can follow the definition.

From what I replaced, I liked the use of relationship instead of function and responding to their own values, which emphasizes the mapping a point of the manifold back onto itself. But I could not get it to work. Maybe someone else could try. XaosBits (talk) 05:53, 29 December 2015 (UTC)

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Proposed merge of Dynamical system (definition) into Dynamical system

The following discussion is closed. Please do not modify it. Subsequent comments should be made in a new section. A summary of the conclusions reached follows.

The result of this discussion was Merge. — MarkH₂₁^talk 08:31, 16 September 2021 (UTC)

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"definition" is the main aspect of any topic fgnievinski (talk) 21:03, 15 July 2021 (UTC)

The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.

"Ergodic systems" section organization

Finite time solutions are an extreme opposite of ergodic behavior. Nonlinear and chaotic systems are not a subclass of ergodic systems. Finite time solutions do require nonlinearity. The organization here therefore makes very little sense. RowanElder (talk) 13:47, 29 September 2024 (UTC)