Symétrie et forme normale des centres et foyers dégénérés-Reference-Cited by-同舟云学术

Symétrie et forme normale des centres et foyers dégénérés

Published:1982-06 Issue:2 Volume:2 Page:241-251
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Moussu Robert

Abstract

AbstractConsider an analytic differential equation ο = adx + bdy with an algebraically isolated singularity and without a separatrix. The germ at 0∈ℝ2 of the 1-jet y dy is either a focus or a centre. The equation has C∞ normal form of the type = with F(x) = F(−x) if and only if the germ is a centre.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Normal forms for certain singularities of vectorfields

2. Reduction of Singularities of the Differential Equation Ady = Bdx

3. Holonomie et intégrates premières;Mattel;Ann. Scient. Ec. Norm. Sup. Ser.,1980

4. Sur l'existence d'intégrales premières pour un germe de forme de Pfaff

5. Singularities of vector fields on the plane

Cited by 102 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Center Conditions for Nilpotent Singularities in the Plane Using Invariant Solutions;Qualitative Theory of Dynamical Systems;2024-07-26

2. Existence and nonexistence of Puiseux inverse integrating factors in analytic monodromic singularities;Studies in Applied Mathematics;2024-06-24

3. Stability condition for nilpotent singularities by its complex separatrices;Mathematical Methods in the Applied Sciences;2024-05-15

4. Global phase portraits of generalized polynomial Liénard system with a unique equilibrium and a periodic annulus;Dynamical Systems;2024-03-07

5. The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor;Advances in Nonlinear Analysis;2023-01-01