Structural Stability of Constrained Polynomial Systems

DOI10.1112/S0024609398004615zbMath0930.34036OpenAlexW2134094018MaRDI QIDQ4265992

Jaume Llibre, Jorge Sotomayor

Publication date: 31 January 2000

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609398004615

zbMATH Keywords

polynomial systemsLebesgue measuretopological equivalenceseparatrixPoincaré sphere

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

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Invariant algebraic surfaces and impasses ⋮ Resolution of singularities of 2-dimensional real analytic constrained differential systems ⋮ Peixoto's theorem for vector fields on \(\mathbb S^2\) with impasse points ⋮ Singular impasse points of planar constrained differential systems ⋮ Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\) ⋮ Implicit differential equations with impasse singularities and singular perturbation problems ⋮ On the local classification of smooth maps induced by Newton's method

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