Talk:Phase plane

Physics Mid‑importance

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Text and/or other creative content from Phase plane method was copied or moved into Phase plane with this edit. The former page's history now serves to provide attribution for that content in the latter page, and it must not be deleted as long as the latter page exists.

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Comment on the content: the page starts with the text "Systems of differential equations are collectively of the general form dx/dt = Cx where C may be any combination of constants in order to create linear combinations with x on the right side". The supposedly "general" form given here is actually very specific: you have chosen a linear system (the general system would be nonlinear). Furthermore you have chosen one where the origin is an equilibrium point. Finally, this is an autonomous differential equation (i.e., t does not appear on the RHS); however, phase plane analysis doesn't apply to non-autonomous systems, so that's fair enough so long as you say so! A truly general differential equation would be far too complicated even to write down. But certainly something of the form dx/dt=f(x) should be used.

Thanks to the editors for this page. I have a question and a comment.

1) Are the eigenvectors mentioned also called "manifolds"? 2) I think it will be nice if we will mention nullclines in the article as well. Caspase 20:51, 22 May 2006 (UTC)[reply]

Merge

Should this be merged with the Phase Portrait page? Mirams (talk) 09:41, 29 October 2011 (UTC)[reply]

Maybe, but leave it alone for now. Maschen (talk) 00:25, 14 September 2012 (UTC)[reply]