Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points

DOI10.3934/dcds.2017177zbMath1360.37070arXiv1702.05961OpenAlexW2595692479MaRDI QIDQ524596

Pau Martín, Inmaculada Baldomá, Ernest Fontich

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05961

zbMATH Keywords

invariant manifoldsGevrey classparabolic points

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10)

Related Items (7)

Formal Gevrey solutions: in analytic germs -- for higher order holomorphic PDEs ⋮ Some questions looking for answers in dynamical systems ⋮ Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations ⋮ Differentiable invariant manifolds of nilpotent parabolic points ⋮ Whiskered parabolic tori in the planar \((n+1)\)-body problem ⋮ Maillet type theorem for nonlinear totally characteristic partial differential equations ⋮ Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*

Cites Work

• The parameterization method for invariant manifolds. From rigorous results to effective computations
• Oscillatory orbits in the restricted elliptic planar three body problem
• Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion
• One dimensional invariant manifolds of Gevrey type in real-analytic maps
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Stable manifolds associated to fixed points with linear part equal to identity.
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• The parameterization method for invariant manifolds. III: Overview and applications
• Stable and Random Motions in Dynamical Systems
• Fatou Flowers and Parabolic Curves
• A New Proof of the Pseudostable Manifold Theorem
• The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
• On the Stable Manifold Theorem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

This page was built for publication: Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points