Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori
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Publication:5095751
DOI10.1137/21M1458363zbMath1503.37085MaRDI QIDQ5095751
Àngel Jorba, Begoña Nicolás, Joan Gimeno, Estrella Olmedo
Publication date: 10 August 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Parallel algorithms in computer science (68W10) Computational methods for invariant manifolds of dynamical systems (37M21)
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- Asteroid close encounters characterization using differential algebra: the case of apophis
- A dynamical equivalent to the equilateral libration points of the Earth- Moon system
- Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
- A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms
- A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples
- A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates
- On the reducibility of linear differential equations with quasiperiodic coefficients
- Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors
- Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models
- 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
- Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem
- Using invariant manifolds to capture an asteroid near the \(L_3\) point of the Earth-Moon bicircular model
- Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem
- Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems
- Transition state theory with quasi-periodic forcing
- High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem
- Numerical computation of the normal behaviour of invariant curves ofn-dimensional maps
- Effective Reducibility of Quasi-periodic Linear Equations Close To Constant Coefficients
- A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
- On the Computation of Reducible Invariant Tori on a Parallel Computer
- A note on a Lagrangian formulation for motion about the collinear points
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
- Computation of Invariant Tori by the Fourier Methods
- Dynamics and Mission Design Near Libration Points
- On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
- Computation of Invariant Tori by the Method of Characteristics
- Dynamics and Mission Design Near Libration Points
- Numerical Calculation of Invariant Tori
- A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity
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