In applied mathematics, Tikhonov's theorem on dynamical systems is a result on stability of solutions of systems of differential equations. It has applications to chemical kinetics. The theorem is named after Andrey Nikolayevich Tikhonov.
Statement
Consider this system of differential equations:
Taking the limit as
where the second equation is the solution of the algebraic equation
Note that there may be more than one such function φ.
Tikhonov's theorem states that as