Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\)
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Publication:5929063
DOI10.1006/jdeq.2000.3908zbMath0982.34028OpenAlexW1972294477MaRDI QIDQ5929063
Jorge Sotomayor, Michail Zhitomirskii
Publication date: 10 April 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3908
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Implicit ordinary differential equations, differential-algebraic equations (34A09)
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Cites Work
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- Sur l'existence d'intégrale premiere pour un germe de forme de Pfaff
- On impasse points of quasilinear differential-algebraic equations
- Structurally stable differential systems of the form \(A(x)x'=F(x)\)
- Modules of vector fields, differential forms and degenerations of differential systems
- Normal forms for constrained nonlinear differential equations. I. Theory
- Structural Stability of Constrained Polynomial Systems
- Local normal forms for constrained systems on 2-manifolds
- Structural stability on manifolds with boundary
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