The index of singularities of vector fields and finite jets

DOI10.1016/J.JDE.2011.04.015zbMath1267.37020OpenAlexW2051381846MaRDI QIDQ640045

Jaume Llibre, Radu Saghin

Publication date: 12 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.04.015

zbMATH Keywords

topological indexvector fieldsNewton diagram

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (3)

An upper bound of the index of an equilibrium point in the plane ⋮ Growth at infinity and index of polynomial maps ⋮ Rational mode locking for homeomorphisms of the $2$-torus

Cites Work

• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• Non-stabilisable jets of diffeomorphisms in \({\mathbb{R}}^ 2\) and of vector fields in \({\mathbb{R}}^ 3\)
• Singularities of vector fields on the plane
• Singularities of vector fields
• Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity
• Structural stability of planar homogeneous polynomial vector fields: Applications to critical points and to infinity
• The index of analytic vector fields and Newton polyhedra
• On the Relation between Index and Multiplicity
• Singular Points of Complex Hypersurfaces. (AM-61)

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