Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
type: Item
instance of: scholarly article
title: Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
zbMATH Open document ID: 1017.37009
author: Patrick Bonckaert
author: Vincent Naudot
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2003-07-06T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73559
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 37D05
zbMATH DE Number: 1911459
zbMATH Keywords: Dulac map
zbMATH Keywords: vector field
zbMATH Keywords: hyperbolic equilibrium point of saddle type
zbMATH Keywords: asymptotic expression
MaRDI profile type: Publication
OpenAlex ID: W1998242774
cites work: On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
cites work: Conjugacy of vector fields respecting additional properties.
cites work: Q3356654
cites work: Q4841394
cites work: Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
cites work: Homoclinic-doubling cascades.
cites work: Q5751632
cites work: Q3808897
cites work: On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
cites work: Almost planar homoclinic loops in \(\mathbb{R}^ 3\)
cites work: Lorenz attractors through Šil'nikov-type bifurcation. Part I
cites work: On the Structure of Local Homeomorphisms of Euclidean n-Space, II
cites work: The Structure of Local Homeomorphisms, III
DOI: 10.5802/AFST.1004
Recommended article: Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting
Recommended article: Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting
Recommended article: Asymptotic properties of the hyperbolic metric on the sphere with three conical singularities
Recommended article: Moduli of 3-dimensional diffeomorphisms with saddle-foci
Recommended article: Dynamics of asymptotically hyperbolic manifolds
Recommended article: Partial hyperbolicity and ergodicity in dimension three
Recommended article: Sinai-Ruelle-Bowen measures for piecewise hyperbolic maps with two directions of instability in three-dimensional spaces
Recommended article: Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics on 3-torus
Recommended article: On the density of hyperbolicity and homoclinic bifurcations for 3D-diffeomorphisms in attracting regions
Recommended article: Q4881085
description: scientific article; zbMATH DE number 1911459