This is a preview of subscription content, log in via an institution to check access.
Literature cited
S. A. Lomov, Introduction to the General Theory of Singular Perturbations [in Russian], Nauka, Moscow (1981).
S. A. Lomov and V. F. Safonov, “Regularization and asymptotic solution of singularly perturbed problems with point singularities of the spectrum of the limit operator,” Ukr. Mat. Zh.,36, No. 2, 172–180 (1984).
Yu. P. Gubin, S. A. Lomov, and V. F. Safonov, “Point resonance in a system of two oscillators,” Prikl. Mat. Mekh.,45, No. 3, 389–396 (1982).
Yu. P. Gubin and V. F. Safonov, “Nonlinear regularization of resonance problems,” Tr. Mosk. Energet. Inst., No. 499, 73–77 (1980).
Yu. P. Gubin and V. F. Safonov, “Asymptotic solution of singularly perturbed problems with weak nonlinearity in the case of nondidentical resonance,” Differents. Uravn.,20, No. 6, 930–941 (1984).
F. R. Gantmakher, Theory of Matrices, Chelsea Publ.
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 4, pp. 453–464, July–August, 1986.
Rights and permissions
About this article
Cite this article
Lomov, S.A., Safonov, V.F. Algorithm for normal forms in nonlinear singularly perturbed systems with unstable spectrum. Ukr Math J 38, 385–395 (1986). https://doi.org/10.1007/BF01057296
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01057296