Algebraic unsolvability of the problem of lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations

Functional Analysis and Its Applications ◽

10.1007/bf01075237 ◽

1971 ◽

Vol 4 (3) ◽

pp. 173-180 ◽

Author(s):

V. I. Arnol'd

Keyword(s):

Differential Equations ◽

Lyapunov Stability ◽

Singular Points ◽

Topological Classification ◽

System Of Differential Equations

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Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations

Vladimir I. Arnold - Collected Works ◽

10.1007/978-3-642-31031-7_25 ◽

1970 ◽

pp. 231-238

Author(s):

Vladimir I. Arnold

Keyword(s):

Differential Equations ◽

Lyapunov Stability ◽

Singular Points ◽

Topological Classification ◽

System Of Differential Equations

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Algebraic unsolvability of the problem of stability and the problem of the topological classification of the singular points of analytic systems of differential equations

Vladimir I. Arnold - Collected Works ◽

10.1007/978-3-642-31031-7_22 ◽

1970 ◽

pp. 197-198

Author(s):

Vladimir I. Arnold

Keyword(s):

Differential Equations ◽

Singular Points ◽

Topological Classification ◽

Systems Of Differential Equations

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ANALYTIC UNSOLVABILITY OF THE STABILITY PROBLEM AND THE PROBLEM OF TOPOLOGICAL CLASSIFICATION OF THE SINGULAR POINTS OF ANALYTIC SYSTEMS OF DIFFERENTIAL EQUATIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1976v028n02abeh001644 ◽

1976 ◽

Vol 28 (2) ◽

pp. 140-152 ◽

Author(s):

Ju S Il'jašenko

Keyword(s):

Differential Equations ◽

Stability Problem ◽

Singular Points ◽

Topological Classification ◽

Systems Of Differential Equations ◽

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Topological classification of impulsive differential equations

International Journal of Theoretical Physics ◽

10.1007/bf00671372 ◽

1995 ◽

Vol 34 (7) ◽

pp. 1147-1162 ◽

Author(s):

D. D. Bainov ◽

S. I. Kostadinov ◽

Nguyen Van Minh ◽

P. P. Zabreiko

Keyword(s):

Differential Equations ◽

Impulsive Differential Equations ◽

Topological Classification

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Reduction of the problem of the classification of tubular quadrics to the solving of a system of differential equations of a special form

Mathematical Notes ◽

10.1007/bf01157928 ◽

1989 ◽

Vol 45 (5) ◽

pp. 354-360 ◽

Author(s):

A. V. Isaev

Keyword(s):

Differential Equations ◽

Special Form ◽

System Of Differential Equations

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Topological classification of nonhomogeneous differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01057030 ◽

1990 ◽

Vol 42 (3) ◽

pp. 377-379

Author(s):

Nguen Van Min'

Keyword(s):

Differential Equations ◽

Topological Classification

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A Work on the Degree of Generality Revealed in the Organization of Enumerations: Poincaré’s Classification of Singular Points of Differential Equations

Archimedes - Texts, Textual Acts and the History of Science ◽

10.1007/978-3-319-16444-1_10 ◽

2015 ◽

pp. 385-419

Author(s):

Anne Robadey

Keyword(s):

Differential Equations ◽

Singular Points

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Poincare Problem and Classification of Irregular Singular Points for Linear Differential Equations with Holomorphic Coefficients

Developments and Novel Approaches in Nonlinear Solid Body Mechanics - Advanced Structured Materials ◽

10.1007/978-3-030-50460-1_3 ◽

2020 ◽

pp. 23-27

Author(s):

Maria V. Korovina ◽

Vladimir Yu. Smirnov

Keyword(s):

Differential Equations ◽

Singular Points ◽

Linear Differential Equations ◽

Linear Differential ◽

Poincaré Problem ◽

Irregular Singular Points

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Topological Classification of All Integrable Hamiltonian Differential Equations of General Type With Two Degrees of Freedom

Mathematical Sciences Research Institute Publications - The Geometry of Hamiltonian Systems ◽

10.1007/978-1-4613-9725-0_10 ◽

1991 ◽

pp. 131-339 ◽

Author(s):

A. T. Fomenko

Keyword(s):

Differential Equations ◽

Degrees Of Freedom ◽

General Type ◽

Topological Classification ◽

Two Degrees Of Freedom

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Topological classification of polynomial complex differential equations with all the critical points of centre type

The Journal of Difference Equations and Applications ◽

10.1080/10236190903232654 ◽

2010 ◽

Vol 16 (5-6) ◽

pp. 411-423 ◽

Author(s):

M.J. Álvarez ◽

A. Gasull ◽

R. Prohens

Keyword(s):

Differential Equations ◽

Critical Points ◽

Topological Classification ◽

Complex Differential Equations ◽

Polynomial Complex

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