Talk:Bifurcation theory

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Wikipedia lacks entries on "Center manifold theorem" and "transformation to normal form" --Anonymous

[edit] Bifurcation Theory template

Anyone here good with wiki templates/footers? Thought it would be a good idea to create a template for the common bifurcation articles, and bifurcation theory in general, rather than cluttering the 'see also' section for all of them. I'll see what I can whip up...feedback welcome! Good idea/bad idea? jugander (t) 12:53, 17 October 2006 (UTC)

I am not sure a bifurcation template is useful. Can you provide a more detailed example how such a template would unclutter an article ? I might also add I consider templates (navigational templates) in most cases not helpful. So before you do any serious editing please present you template here. Having said this I think the dynamical systems articles in wikipedia are not in good shape so any improvement is appreciated. MathMartin 12:09, 18 October 2006 (UTC)

Here are two versions of what I've chosen out, one verbose, one less verbose. I thought to do this instead of cluttering all the "see also" sections of the bifurcation articles. I personally find navigational templates very useful when done well, notably Template:ProbDistributions for a good interlinking of probability distributions.

The top version is what I consider the most-possibly verbose version, i tried to collect everything related I could think of, and it probably shouldn't be used. The second version is shaved down to what I think is a good size.

[edit] Topics in Bifurcation theory
Surrounding theory: Bifurcation theory \| Catastrophe theory \| Chaos theory \| Nonlinearity \| Dynamical systems
Local bifurcations: Saddle-node \| Transcritical \| Pitchfork \| Period-doubling \| Hopf \| Neimark
Global bifurcations: Homoclinic \| Heteroclinic \| Infinite-period
Other: Bifurcation diagram \| Hysteresis \| Self-organization
Lists: Dynamical Systems topics \| Chaotic maps

[edit] Topics in Bifurcation theory
Local bifurcations: Saddle-node \| Transcritical \| Pitchfork \| Period-doubling \| Hopf \| Neimark
Global bifurcations: Homoclinic \| Heteroclinic \| Infinite-period
Other: Bifurcation diagram \| Hysteresis \| Self-organization

Also, I'm writing an infinite-period bifurcation stub real soon (Update: done). Neimark I haven't studied, so that will have to remain red unless someone else can pitch in. It would be fun to see the homoclinic/heteroclinic maths articles cleaned up generally, it's on my 'maybe eventually' list. But getting back to the template, what are the opinions? jugander (t) 21:44, 18 October 2006 (UTC)

[edit] Organizing bifurcation theory

F y'alls I, I decided to make redirects from local bifurcation(s) and global bifurcation(s) to this main Bifurcation theory page. I started to write a new article mostly copied from this one, but decided against it, thinking it would be better to concentrate efforts. jugander (t) 22:16, 18 October 2006 (UTC)