A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems
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Publication:683949
DOI10.1007/s00332-016-9342-5zbMath1456.37067OpenAlexW2538666553MaRDI QIDQ683949
Publication date: 9 February 2018
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2117/95852
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) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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- The parameterization method for invariant manifolds. From rigorous results to effective computations
- Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
- Kolmogorov theorem revisited
- Analytic smoothing of geometric maps with applications to KAM theory
- Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions
- Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
- KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
- On the stability of realistic three-body problems
- On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
- KAM theory in configuration space
- Numerical computation of normal forms around some periodic orbits of the restricted three-body problem
- A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map
- A KAM theory for conformally symplectic systems: efficient algorithms and their validation
- A lecture on the classical KAM theorem
- A KAM theorem without action-angle variables for elliptic lower dimensional tori
- Integrability of hamiltonian systems on cantor sets
- On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
- Generalized implicit function theorems with applications to some small divisor problems, II
- On a new proof of Moser's twist mapping theorem
- KAM theory without action-angle variables
- A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification
- On the construction of the Kolmogorov normal form for the Trojan asteroids
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- Invariant tori in the secular motions of the three-body planetary systems
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