Geodesic
Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1640-1653

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A constructive algorithm is proposed for calculating the coefficients of the asymptotic expansion of a slow motions integral manifold represented in parametric form. The existence and uniqueness theorem is proven for a parametrized integral manifold of a singularly perturbed system in a degenerate case.
Keywords: asymptotic expansion, integral manifold, singularly perturbed system, slow motions. 
@article{SEMR_2019_16_a104,
     author = {L. I. Kononenko},
     title = {Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1640--1653},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a104/}
}
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L. I. Kononenko. Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1640-1653. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a104/