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Differentical equations, dynamical systems and optimal control
Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics
L. I. Kononenko Sobolev Institute of Mathematics, 4, Acad. Koptyug ave., Novosibirsk, 630090, Russia
Abstract:
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.
Received July 15, 2019, published November 18, 2019
Citation:
L. I. Kononenko, “Parametrized integral manifolds of singularly perturbed systems in the critical case for problems of chemical kinetics”, Sib. Èlektron. Mat. Izv., 16 (2019), 1640–1653
Linking options:
https://www.mathnet.ru/eng/semr1157 https://www.mathnet.ru/eng/semr/v16/p1640
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Abstract page: | 187 | Full-text PDF : | 112 | References: | 16 |
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