Formal classification of vector fields with structurally stable singularities in a neighborhood of a circle

G. R. Belitskii; V. F. Lisyanoi

doi:10.1007/BF01061808

Formal classification of vector fields with structurally stable singularities in a neighborhood of a circle

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Abstract

We study formal classification of systems of differential equations of the form (1) in the case of function a(α) having two structurally stable critical points. Invariants of such vector fields are constructed in the nonresonant case. Conditions of equivalence of the system to a linear or to an autonomous one are stated in terms of these invariants.

Original language	English
Pages (from-to)	1243-1247
Number of pages	5
Journal	Ukrainian Mathematical Journal
Volume	43
Issue number	10
DOIs	https://doi.org/10.1007/BF01061808
State	Published - 1 Oct 1991
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Formal classification of vector fields with structurally stable singularities in a neighborhood of a circle",

abstract = "We study formal classification of systems of differential equations of the form (1) in the case of function a(α) having two structurally stable critical points. Invariants of such vector fields are constructed in the nonresonant case. Conditions of equivalence of the system to a linear or to an autonomous one are stated in terms of these invariants.",

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N2 - We study formal classification of systems of differential equations of the form (1) in the case of function a(α) having two structurally stable critical points. Invariants of such vector fields are constructed in the nonresonant case. Conditions of equivalence of the system to a linear or to an autonomous one are stated in terms of these invariants.

AB - We study formal classification of systems of differential equations of the form (1) in the case of function a(α) having two structurally stable critical points. Invariants of such vector fields are constructed in the nonresonant case. Conditions of equivalence of the system to a linear or to an autonomous one are stated in terms of these invariants.

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Formal classification of vector fields with structurally stable singularities in a neighborhood of a circle

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