Is Nullcline Only Defined in Two Dimensions?

[Pythagorean]

1) is nullcline defined properly here:
http://en.wikipedia.org/wiki/Nullcline

in the discussion section, it is claimed the nullcline is n-dimensional, not just 2d


if the wiki page is right:
2) what is the general term for the zero solutions of an n-dimensional system?

3) what are 1D and 3D zero solutions called? nullpoint, nullplane

thank you,
Pyth

 

[adriank]

They're still called nullclines. See the first external link on the Wikipedia page.

 

[Pythagorean]

They're still called nullclines. See the first external link on the Wikipedia page.

I could never get that page to load, or even google's cache. I would prefer a text source anyway so that I can edit the wiki page and properly cite it. I couldn't find it in Strogatz "Nonlinear Dynamics and Chaos". He says a thing or two about nullclines, but doesn't give a definition. The wikipedia page seems to actually rip a line off of Strogatz (who uses a 2D system coincidentally).

But perhaps I'm looking in the wrong textbook. Is their a more fundamental math subject that nullclines belong too?