A map 
where 
is a manifold is 
structurally stable if any 
perturbation is topologically
conjugate to 
.
Here, 
perturbation means a function 
such that 
is close to 
and the first 
derivatives of 
are close to those of 
.
Structurally Stable
See also
Topologically ConjugateExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Structurally Stable." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StructurallyStable.html