Integral curvatures, oscillation and rotation of spatial curves around affine subspaces

DOI10.1007/BF02259525zbMath0953.53003OpenAlexW2003693930MaRDI QIDQ1972718

Dmitri Novikov, Sergey Yu. Yakovenko

Publication date: 13 April 2000

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

Full work available at URL: https://doi.org/10.1007/bf02259525

zbMATH Keywords

oscillationEuclidean spaceprojective spacegeneralized inflection pointintegral Frénet curvature

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Integral geometry (53C65) Curves in Euclidean and related spaces (53A04)

Related Items (3)

On extended Chebyshev systems with positive accuracy ⋮ Stratification of spaces of locally convex curves by itineraries ⋮ Trajectories of polynomial vector fields and ascending chains of polynomial ideals

Cites Work

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• Simple exponential estimate for the number of real zeros of complete abelian integrals
• Generalized Rolle theorem in \({\mathbb{R}}^n\) and \({\mathbb{C}}\)
• How many zeros of a random polynomial are real?
• SPACES OF LINEAR DIFFERENTIAL EQUATIONS, AND FLAG MANIFOLDS
• On total curvatures of closed space curves

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