Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters

DOI10.1016/j.jde.2019.11.100zbMath1437.37022arXiv1603.02533OpenAlexW2998466858WikidataQ126444763 ScholiaQ126444763MaRDI QIDQ2297267

Ernest Fontich, Pau Martín, Inmaculada Baldomá

Publication date: 18 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02533

zbMATH Keywords

polynomial approximationsstable manifoldsparametrization methodfixed points of parabolic type

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

The parameterization method for center manifolds ⋮ Asymptotic dynamics of a difference equation with a parabolic equilibrium ⋮ Differentiable invariant manifolds of nilpotent parabolic points ⋮ Invariant manifolds of parabolic fixed points. II: Approximations by sums of homogeneous functions ⋮ Symbolic dynamics in the restricted elliptic isosceles three body problem ⋮ Whiskered parabolic tori in the planar \((n+1)\)-body problem

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