A New Approach to the Parameterization Method for Lagrangian Tori of Hamiltonian Systems

We compute invariant Lagrangian tori of analytic Hamiltonian systems by the parameterization method. Under Kolmogorov’s non-degeneracy condition, we look for an invariant torus of the system carrying quasi-periodic motion with fixed frequencies. Our approach consists in replacing the invariance equa...

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Bibliographic Details
Published in:	Journal of nonlinear science Vol. 27; no. 2; pp. 495 - 530
Main Author:	Villanueva, Jordi
Format:	Journal Article Publication
Language:	English
Published:	New York Springer US 01.04.2017 Springer Nature B.V
Subjects:	37 Dynamical systems and ergodic theory 37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems 70 Mechanics of particles and systems 70K Nonlinear dynamics Analysis Classical Mechanics Classificació AMS Economic Theory/Quantitative Economics/Mathematical Methods Errors Functional equations Hamiltonian functions Hamiltonian systems Invariance Invariants KAM theory Kolmogorov-Arnold-Moser theory Lagrangian tori Matemàtiques i estadística Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Parameterization Parameterization methods Perturbation methods Quasi Newton methods Sistemes hamiltonians Theoretical Toruses Àrees temàtiques de la UPC Hamiltonian systems 37J40 Lagrangian tori 70K43 Parameterization methods KAM theory
ISSN:	0938-8974, 1432-1467
Online Access:	Get full text
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