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On the Reducibility of Linear Differential Equations with Quasiperiodic Coefficients Which are Degenerate

Autor: Junxiang, Xu, Qin, Zheng

Publikováno v: Proceedings of the American Mathematical Society, 1998 May 01. 126(5), 1445-1451.

Externí odkaz: https://www.jstor.org/stable/118799

Infinite orbit depth and length of Melnikov functions

Autor: L. Ortiz-Bobadilla, Jessie Pontigo-Herrera, Dmitry Novikov, Pavao Mardešić

Publikováno v: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2019, 36 (7), pp.1941-1957. ⟨10.1016/j.anihpc.2019.07.003⟩

In this paper we study polynomial Hamiltonian systems d F = 0 in the plane and their small perturbations: d F + ϵ ω = 0 . The first nonzero Melnikov function M μ = M μ ( F , γ , ω ) of the Poincare map along a loop γ of d F = 0 is given by an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e877f9a2146712c96356e5d53ed73e3
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02288935

On the local and global properties of geodesics in pseudo-Riemannian metrics

Autor: A. O. Remizov

Publikováno v: Differential Geometry and its Applications. 39:36-58

The paper is a study of geodesic in two-dimensional pseudo-Riemannian metrics. Firstly, the local properties of geodesics in a neighborhood of generic parabolic points are investigated. The equation of the geodesic flow has singularities at such poin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40161ffd7c3acc46649b29ecf768e354
https://doi.org/10.1016/j.difgeo.2015.01.003