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This page needs to be de-mathified. It offers nothing useful to someone without mathematical inclination.

Further, "structural stability" is also an important branch of Civil Engineering and/or Aeronautical Engineering as well as other disciplines. For example, in Civil Engineering the Timoshenko and Gere's classic textbook on the Theory of Elastic Stability should be referenced at a minimum.

In fact, this concept is _never_ applied for homeomorphisms, as is supposed in the actual version of the text. The problem is that by a Homeo-small perturbation, one can create, for instance, an infinite number of fixed points "around" just one for the original map -- so there would be no "Homeo"-structurally stable maps. It should be changed to the "Diffeo" version. -- Burivykh ( talk) 12:05, 17 April 2009 (UTC) reply

I rewrote the whole article, addressing, in particular, your valid concern. Furthermore, it is rather meaningless, in my opinion, to give abstract definitions without presenting any theory or applications. If in the future someone decides to write up C^k theory, the corresponding definitions can be quickly re-added. Arcfrk ( talk) 04:04, 25 May 2009 (UTC) reply