A method of integral manifolds is applied to study singularly perturbed differential systems. A transformation that allows to decompose a linear system with two small positive parameters to three independent subsystems was constructed.

1. Strygin V.V., Sobolev V.A. Separation of motions by the method of integral manifolds. - M.: Nauka, 1988. - 256 p.
2. Goldstein V.M., Sobolev V.A. Qualitative analysis of singularly perturbed systems. - Novosibirsk, 1988. - 153 p.
3. Voropaeva N.V., Sobolev V.A. Constructive method of splitting of singularly perturbed systems // Differential equations. - 1995. - 31, No. 4. - P. 569-578.
4. Sobolev V.A. Integral manifolds and decomposition of singularly perturbed systems // System and Control Letters. - 1984, N 5. - P. 169-179.
5. Sobolev V.A. Decomposition of linear singularly perturbed systems // Acta Math. Hung. - 1987, N 3-4.
- P. 365-376.
6. Samoilenko A.M. Invariant manifolds of linear differential equations. - Kyiv, 2009. - 10 p.
(preprint / NASU Int-mat.: No. 2009.7).
7. Cherevko I.M. Splitting of linear singular-perturbed differential-functional equations // Supplement of the NAS of Ukraine, 2002. - No. 6. - P. 32-36