Tikhonov's theorem (dynamical systems)

In applied mathematics, Tikhonov's theorem on dynamical systems is a result on stability of solutions of systems of differential equations.

[1][2] The theorem is named after Andrey Nikolayevich Tikhonov.

Consider this system of differential equations: Taking the limit as

the solution of the system of two differential equations above approaches the solution of the degenerate system if

is a stable root of the "adjoined system"