Meandering of trajectories of polynomial vector fields in the affine \(n\)-space

DOI10.5565/PUBLMAT_41197_14zbMath0878.34026MaRDI QIDQ1365665

Dmitri Novikov, Sergey Yu. Yakovenko

Publication date: 4 September 1997

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41296

zbMATH Keywords

oscillationpolynomial idealszeros of analytic functionsascending chains

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative Noetherian rings and modules (13E05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Computational aspects of algebraic curves (14Q05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (6)

Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems ⋮ Systems of linear ordinary differential equations with bounded coefficients may have very oscillating solutions ⋮ On the number of zeros of Abelian integrals for a polynomial Hamiltonian irregular at infinity ⋮ Rotation rate of a trajectory of an algebraic vector field around an algebraic curve ⋮ Redundant Picard-Fuchs system for abelian integrals ⋮ Trajectories of polynomial vector fields and ascending chains of polynomial ideals

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