Solitary trajectories of analytic vector fields

DOI10.1007/s13398-018-0601-1zbMath1442.34061OpenAlexW2901533428WikidataQ128818547 ScholiaQ128818547MaRDI QIDQ2331749

Olivier Le Gal

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0601-1

zbMATH Keywords

singularitieso-minimalityreal analytic geometryquasianalyticity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic properties of solutions to ordinary differential equations (34D05) Real algebraic and real-analytic geometry (14P99) Model theory of ordered structures; o-minimality (03C64) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (1)

Solutions of definable ODEs with regular separation and dichotomy interlacement versus Hardy

Cites Work

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• Oscillation, spiralling, vorticity
• Geometric categories and o-minimal structures
• The Field of Reals with Multisummable Series and the Exponential Function
• Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations
• Expansions of o-minimal structures on the real field by trajectories of linear vector fields
• Differential equations over polynomially bounded o-minimal structures
• Quasianalytic Denjoy-Carleman classes and o-minimality
• Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal
• Non-oscillating integral curves and valuations
• Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures

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