Examples of infinitesimal nontrivial accumulation of secants in dimension three

DOI10.1007/S10883-014-9248-1zbMath1335.34064arXiv1305.2125OpenAlexW1993258979MaRDI QIDQ5963666

André Belotto

Publication date: 23 February 2016

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2125

zbMATH Keywords

ordinary differential equationsaccumulation of secantsreal analytic geometry

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Real algebraic sets (14P05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Oscillation, spiralling, vorticity
• Analytic varieties as limit periodic sets
• Stability of motion
• Nonoscillating projections for trajectories of vector fields
• Infinitesimal Poincaré–Bendixson Problem in Dimension 3
• Non-oscillating integral curves and valuations

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