Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems
DOI10.1137/23m1561257arXiv2212.00412MaRDI QIDQ6144487
Josep Maria Mondelo González, Unnamed Author, Àlex Haro
Publication date: 29 January 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.00412
Three-body problems (70F07) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonautonomous smooth dynamical systems (37C60) Nearly integrable Hamiltonian systems, KAM theory (70H08) Computational methods for invariant manifolds of dynamical systems (37M21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The parameterization method for invariant manifolds. From rigorous results to effective computations
- Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
- A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results
- A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions
- An obstruction method for the destruction of invariant curves
- Preliminary study on the translunar Halo orbits of the real Earth-Moon system
- On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
- Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown
- Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results
- Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Flow map parameterization methods for invariant tori in Hamiltonian systems
- Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction
- Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems
- A KAM theory for conformally symplectic systems: efficient algorithms and their validation
- The parameterization method for invariant manifolds. III: Overview and applications
- Non-twist invariant circles in conformally symplectic systems
- Efficient and reliable algorithms for the computation of non-twist invariant circles
- Dynamics and Mission Design Near Libration Points
- A KAM theorem without action-angle variables for elliptic lower dimensional tori
- Fast Fourier Methods in Computational Complex Analysis
- The obstruction criterion for non-existence of invariant circles and renormalization
- Parameterization Method for Computing Quasi-periodic Reducible Normally Hyperbolic Invariant Tori
- On optimal estimates for the solutions of linear difference equations on the circle
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
- The parameterization method for invariant manifolds II: regularity with respect to parameters
- KAM theory without action-angle variables
- A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity
- The dynamics around the collinear equilibrium points of the RTBP
This page was built for publication: Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems
