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Flow map parameterization methods for invariant tori in Hamiltonian systems (Q2038123)

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Language	Label	Description	Also known as
English	Flow map parameterization methods for invariant tori in Hamiltonian systems	scientific article

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scholarly article

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Flow map parameterization methods for invariant tori in Hamiltonian systems (English)

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Josep Maria Mondelo González

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Communications in Nonlinear Science and Numerical Simulation

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publication date

9 July 2021

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full work available at URL

https://arxiv.org/abs/2101.07665

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zbMATH Keywords

invariant tori

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parameterization method

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KAM theory

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Lissajous orbits

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MaRDI profile type

MaRDI publication profile

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A COMPUTER-ASSISTED STUDY OF GLOBAL DYNAMIC TRANSITIONS FOR A NONINVERTIBLE SYSTEM

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The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

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The parameterization method for invariant manifolds II: regularity with respect to parameters

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The parameterization method for invariant manifolds. III: Overview and applications

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A KAM theory for conformally symplectic systems: efficient algorithms and their validation

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Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps

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Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map

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Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown

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Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results

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On the vertical families of two-dimensional tori near the triangular points of the bicircular problem

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KAM theory without action-angle variables

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The obstruction criterion for non-existence of invariant circles and renormalization

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Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem

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Rigorous computer-assisted application of KAM theory: a modern approach

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Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

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Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions

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Dynamics and Mission Design Near Libration Points

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The dynamics around the collinear equilibrium points of the RTBP

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The parameterization method for invariant manifolds. From rigorous results to effective computations

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Manifolds on the verge of a hyperbolicity breakdown

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A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms

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A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results

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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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Fast Fourier Methods in Computational Complex Analysis

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Computation of Invariant Tori by the Fourier Methods

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Computation of whiskered invariant tori and their associated manifolds: new fast algorithms

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A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems

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On the Computation of Reducible Invariant Tori on a Parallel Computer

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Numerical computation of the normal behaviour of invariant curves of<i>n</i>-dimensional maps

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Dynamics in the center manifold of the collinear points of the restricted three-body problem

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A KAM theorem without action-angle variables for elliptic lower dimensional tori

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Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.

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An obstruction method for the destruction of invariant curves

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Fourier methods for quasi-periodic oscillations

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ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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Close approximations to invariant tori in nonlinear mechanics

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CNSNS.2021.105859

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Sitelinks

Mathematics(1 entry)

mardi Publication:2038123

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