Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*
DOI10.1088/1361-6544/ac5cd5zbMath1501.37060arXiv2010.06006OpenAlexW3093295345MaRDI QIDQ5865772
Rafael de la Llave, Adrián P. Bustamante
Publication date: 10 June 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.06006
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Approximation in the complex plane (30E10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Symplectic and canonical mappings (37J11)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of the solutions of the discounted equation: the discrete case
- Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
- Limit of the infinite horizon discounted Hamilton-Jacobi equation
- Borel summability and Lindstedt series
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- One dimensional invariant manifolds of Gevrey type in real-analytic maps
- Gevrey and analytic local models for families of vector fields
- Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms
- Corrigendum and addendum to: ``Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation
- Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation
- A KAM theory for conformally symplectic systems: efficient algorithms and their validation
- Convergent series expansions for quasi-periodic motions
- KAM theory and its applications: from conservative to dissipative systems
- Stable and Random Motions in Dynamical Systems
- Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms
- Gevrey series and dynamic bifurcations for analytic slow-fast mappings
- Receding horizon control and discontinuous state feedback stabilization
- Gevrey solutions of singularly perturbed differential equations
- Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems
- Borel summability of the unequal double well
This page was built for publication: Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*
