Talk:Mathieu function

Wiki Education Foundation-supported course assignment
This article was the subject of a Wiki Education Foundation-supported course assignment, between 10 March 2020 and 30 April 2020. Further details are available on the course page. Student editor(s): Bennett Tyler. Peer reviewers: BWhetten.

Above undated message substituted from Template:Dashboard.wikiedu.org assignment by PrimeBOT (talk) 03:37, 17 January 2022 (UTC)

Derivative F' in Mathieu Sine
Are you sure there has to be the derivative of F en the denominator of the Mathieu Sine function? (147.156.25.151 (talk) 12:35, 13 November 2008 (UTC))

Yes, this is to normalize the derivative of Mathieu Sine.widdma (talk) 23:30, 17 October 2012 (UTC)

Students beware
I extensively edited the April 2006 version of this article and had been monitoring it for bad edits, but I am leaving the WP and am now abandoning this article to its fate.

Just wanted to provide notice that I am only responsible (in part) for the last version I edited; see User:Hillman/Archive. I emphatically do not vouch for anything you might see in more recent versions, although I hope for the best.

Good luck to all students in your search for information, regardless!---CH 02:04, 1 July 2006 (UTC)

Floquet solution section
1 - A periodic function repeats itself after each period. i.e., f(x+T) = f(x). Based on the plot, this doesn't look like a periodic function at all, just a function that sort of looks sinusoidal with regular zeroes.

2 - It's not even totally clear what this plot represents. Is it a plot of F or a plot of P? If F or P can be complex valued, why is this plot real values only?

165.123.205.77 (talk) 18:59, 20 December 2010 (UTC)

Additional example application
This article is quite informative and helpful. I recently read a paper on a physical system where the results of the paper fundamentally came from the authors' understanding of the contents of this page. I thought it was a neat example of the applications of Mathieu's equation, so I wanted to list it here. I have never edited an article before, so I thought I would post the example here first in hopes that a more Wiki-savy reader might confirm it is worth adding this to the article and even do it themselves if they're more familiar with best practices for editing articles.

The article is "On Kelvin–Helmholtz and parametric instabilities driven by coronal waves", by Andrew Hillier, et al., published in Monthly Notices of the Royal Astronomical Society (2019), DOI link: https://doi.org/10.1093/mnras/sty2742

Essentially, fluid instabilities in some systems can be understood in terms of Mathieu's equation, which allows one to study whether or not these solutions should contribute to the heating of coronal loops in the sun's atmosphere. Adr.Fraser (talk) 17:33, 14 July 2022 (UTC)