Stratification of three-dimensional real flows I: fitting domains

DOI10.1016/J.JDE.2023.02.029OpenAlexW4323637121MaRDI QIDQ2700640

Yanyan Li

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.01662

zbMATH Keywords

singularitiesfoliationsreduction of singularitiesreal vector fieldsvector fields dynamics

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx) Ordinary differential equations (34-XX) Qualitative theory for ordinary differential equations (34Cxx)

Cites Work

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• Briot-Bouquet's theorem in high dimension
• Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting
• Resolution of singularities of real-analytic vector fields in dimension three
• Topological classification of multiple saddle connections
• Topological invariants for singularities of real vector fields in dimension three
• Singularities of vector fields on the plane
• Instability of equilibria in dimension three
• Local monomialization of generalized analytic functions
• Infinitesimal Poincaré–Bendixson Problem in Dimension 3
• Transition maps at non-resonant hyperbolic singularities are o-minimal
• An ordered structure of rank two related to Dulac's Problem
• Reduction of Singularities of the Differential Equation Ady = Bdx
• On the Local Linearization of Differential Equations
• Invariant manifolds

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