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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)Reply

See specifically WP:PRONOUN. fgnievinski (talk) 14:00, 15 February 2026 (UTC)Reply

let me know extra feedback if needed thx;) Flyredeagle (talk) 12:19, 20 February 2026 (UTC)Reply

I feel that semi group is much more general than monoid. This current formal definition is full of bias and damaging the article.

One reason is due to the self reference. People discussed across the internet for last 12 years what the heck this formal definition means, the preceding page was deleted and the original history is not public, to prove that the guy adding the self reference was actually the guy in Cagliari.

Second reason is the community of math stack exchange attached to category theory, they don't like semi groups cause categories are typically defined top down with identity in axiomatic manner. There is a big thing with the pull back from the monoid to the semi-group, to make equality working in the extended semi-group. It is also unclear how much this category theory comes back useful as in the reference from Harvard.

Third reason semi groups are constructivist typically too where you add a different identity on the basis of need, there is a wealth of dynamical system such as finite state automata and reset mechanics that comes with multiple identities, and others with left or right identities.

Proof that this bias is damaging for example is that it was removed from the competition ... https://grokipedia.com/page/Dynamical_system}} Which ends up to be more consistent.

This difficulty is ultimately due to good Research and bogus research, and different philosophical approaches which lurks in the article.

The thing that is actually good is the measure theoretic stuff which is actually robust and sound with major theorems attached.

Finally I was listening Deutsch stating that Wikipedia is recently dying due to quality, and is unclear how it didn't die before. There's no bias, there's just error either intentional or not intentional. Flyredeagle (talk) 12:16, 20 February 2026 (UTC)Reply

This is a great article. I just want to mention that some of the equations in the following section appear in white font in white background:

https://en.wikipedia.org/w/index.php?title=Dynamical_system&gesuggestededit=1#Classical_definition Starlighsky (talk) 12:55, 18 June 2026 (UTC)Reply