Talk:Linear dynamical system

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles
Mid	This article has been rated as Mid-priority on the project's priority scale.

‹See TfM›

Physics Mid‑importance

	Physics portal This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.PhysicsWikipedia:WikiProject PhysicsTemplate:WikiProject Physicsphysics articles
Mid	This article has been rated as Mid-importance on the project's importance scale.

Systems High‑importance

	Systems science portal This article is within the scope of WikiProject Systems, which collaborates on articles related to systems and systems science.SystemsWikipedia:WikiProject SystemsTemplate:WikiProject SystemsSystems articles
High	This article has been rated as High-importance on the project's importance scale.
	This article is within the field of Dynamical systems.

WikiProject class rating

This article was automatically assessed because at least one WikiProject had rated the article as start, and the rating on other projects was brought up to start class. BetacommandBot 09:58, 10 November 2007 (UTC)[reply]

Translation please

Can someone please translate this article into terms which a non-mathematician would understand? - An Australian engineer too lazy to log in —Preceding unsigned comment added by 202.147.46.214 (talk) 00:42, 20 February 2008 (UTC)[reply]

My big concern, AS a mathematician, is that as near as I can tell this article is factually inaccurate. A linear dynamical system, at least as I learned the term, is deterministic not probabilistic. The intro of this article states that a linear dynamical system is a bayesian model, which is totally at odds with my understanding, but the rest of the article talks about the subject as I understand it with no mention of probability. I'm holding off on editing though on the chance that I'm completely off base here; bayesian statistics isn't really my area. —Preceding unsigned comment added by Fcady2007 (talk • contribs) 02:52, 12 May 2011 (UTC)[reply]

it may also be helpfull if there was an explination of the intergral of lamda[k]r[k] and why it results in an exponential function 62.189.19.125 (talk) 15:40, 21 December 2011 (UTC)[reply]

Being a mathematician and usually doing Bayesian modeling I'd say this article should be about deterministic systems with a mentioning of the probabilistic version. So I would define the term as you would. T3kcit (talk) 07:07, 19 May 2011 (UTC)[reply]

Maybe we should rename the voice

I think it would be more appropriate to call this voice "Continuous linear dynamical system" because there are also "discrete linear dynamical system"s which are not considered here.--Pokipsy76 (talk) 13:45, 12 July 2010 (UTC)[reply]

Opening Sentence

The opening sentence on this article is a painful tautology to read. Surely it can be improved.

"Linear dynamical systems are dynamical systems that are linear."

199.46.200.231 (talk) 15:01, 7 February 2013 (UTC)George[reply]

That has been fixed, but is it correct: should “whose evaluation functions are linear” perhaps read “whose evolution functions are linear” (though the link, being redirected to dynamical system is actually useless)? PJTraill (talk) 22:45, 28 July 2014 (UTC)[reply]

Evaluation functions

the Evaluation functions wiki link is broken — Preceding unsigned comment added by 2A02:2149:8806:E400:49EF:8D6A:553D:F1A9 (talk) 23:31, 30 August 2018 (UTC)[reply]

The content should be improved with details and visualization

As a classic theory, linear dynamics has been researched a lot with various rigorous results worth a textbook. But landing on this page, I'm very surprise to see the content is so simple... to the point that it seems unrecognizable visually!?!

At least, the classification should be enhanced with visualization like the following:

2D: Instead of the text-only figure
Current figure on the page
, there should be sample vector fields attached like this.

File:Bei Wang - Mathematical Foundations in Visualization - Capture.png

A sample of visulization for the 2D classification

Here are some codes (Chebfun2) to generate visuals: https://www.chebfun.org/examples/ode-linear/DynamicalSystems.html

3D: Some animation with 3 complex eigenvalues like this:

File:ProfGhristMath - 3D vector field with 3 complex eigenvalues - Capture.png

An animation of 3D vector field with 3 complex eigenvalues

07:26, 24 June 2021 (UTC)Lê Harusada (talk)