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== 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. [[User:Dmharvey|Dmharvey]] [[User talk: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. [[User:XaosBits|XaosBits]] ([[User talk:XaosBits|talk]]) 05:53, 29 December 2015 (UTC)

== External links modified ==
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== Proposed merge of [[Dynamical system (definition)]] into [[Dynamical system]] ==

{{Discussion top|result=The result of this discussion was '''Merge'''. — <span style="font-family:Trebuchet MS;font-size:100%;color:black;background-color:transparent;;">[[User:MarkH21|MarkH<sub><small>21</small></sub>]]<sup>[[User talk:MarkH21|<span style="background-color:navy; color:white;">talk</span>]]</sup></span> 08:31, 16 September 2021 (UTC)}}

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

{{Discussion bottom}}

== "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. [[User:RowanElder|RowanElder]] ([[User talk:RowanElder|talk]]) 13:47, 29 September 2024 (UTC)