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Preprints of the Keldysh Institute of Applied Mathematics, 1995, 040
(Mi ipmp1656)
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Local Analysis of a Singularity of an Invertible ODE System. Simple Cases
A. D. Bruno, A. Soleev
Abstract:
Near its statiinary point we study solutions of an invertible system of ordinary differential equations with a square nonlinearity and with parameters υ ∈ IR and σ = ±1. The system appeared from the water-wade problem after its reduction on the center manifold and a selection of the basic first approximation and a power transformation of coordinates. We study the system by means of its normal form. In the set of values of parameters υ and σ we have selected and studied cases, where the normalizing transformation converges, and cases, where it diverges but there is a smooth normalizing transformation.
Citation:
A. D. Bruno, A. Soleev, “Local Analysis of a Singularity of an Invertible ODE System. Simple Cases”, Keldysh Institute preprints, 1995, 040
Linking options:
https://www.mathnet.ru/eng/ipmp1656 https://www.mathnet.ru/eng/ipmp/y1995/p40
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Abstract page: | 127 | Full-text PDF : | 13 |
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