Talk:Monodromy matrix

linear only

Current definition is only meaningful for a linear (so you can talk about "coefficients") and homogenous (for "fundamental matrix") ODE's. In the general case ${\dot {y}}=F(y)$, I think you should look at the stability equation ${\dot {\delta y}}_{i}={\frac {\partial F_{i}}{\partial y_{j}}}\delta y_{j}$, which is linear. Examining this around a periodic point in the Poincare map yields something that coincides with different definitions of "Monodromy matrix", found elsewhere (e.g. see [1]). --AmitAronovitch (talk) 09:09, 19 December 2010 (UTC)

merge to monodromy

I just proposed a merge to monodromy. As far as I can tell, this is talking about the same thing. The problem is, I think I understand a monodromy; this article, however, is incoherent, I can't make heads or tails of it. The link fundamental matrix redirects to an article that never actually uses the word 'fundamental', and it doesn't ever really talk about matrixes so ... never mind the missing definition of 'period', etc. 18:43, 2 September 2012 (UTC)

Assessment comment

The comment(s) below were originally left at Talk:Monodromy matrix/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

I can't grasp the meaning of the long sentence "In mathematics, and particularly ordinary differential equations, a monodromy matrix is the inverse of the fundamental matrix of a system of ODEs evaluated at zero times the fundamental matrix evaluated at the period of the coefficients of the system.".

Last edited at 11:59, 3 August 2009 (UTC). Substituted at 02:21, 5 May 2016 (UTC)