Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal
DOI10.1090/tran/7205zbMath1418.37038arXiv1310.2225OpenAlexW2963315680MaRDI QIDQ4600446
Olivier Le Gal, Patrick Speissegger, Fernando Sanz Sánchez
Publication date: 9 January 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.2225
Dynamics induced by flows and semiflows (37C10) Orbit growth in dynamical systems (37C35) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Model theory of ordered structures; o-minimality (03C64) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
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Cites Work
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- Smooth invariant curves for germs of vector fields in \({\mathbb{R}}^ 3\) whose linear part generates a rotation
- Semianalytic and subanalytic sets
- Multisummable functions
- Volumes, Rolle leaves of analytic foliations and Wilkie's theorem
- A new proof of summability of formal solutions of nonlinear meromorphic differential equations
- Oscillation, spiralling, vorticity
- Singularities of vector fields
- Geometric categories and o-minimal structures
- Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations
- The Pfaffian closure of an o-minimal structure
- Course on Non-oscillatory Trajectories
- Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
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