Weighted Birkhoff averages and the parameterization method (Q6598399)

scientific article; zbMATH DE number 7906723

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English	Weighted Birkhoff averages and the parameterization method	scientific article; zbMATH DE number 7906723

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instance of

scholarly article

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title

Weighted Birkhoff averages and the parameterization method (English)

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SIAM Journal on Applied Dynamical Systems

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publication date

5 September 2024

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zbMATH Keywords

invariant circle

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parameterization method

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weighted Birkhoff average

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numerical computation

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numerical continuation

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Automatic differentiation: Applications, theory, and implementations. Selected papers based on the presentation at the 4th international conference on automatic differentiation (AD), Chicago, IL, USA, July 20--23, 2004

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KAM quasi-periodic solutions for the dissipative standard map

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Non-twist invariant circles in conformally symplectic systems

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

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A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification

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

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

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Q4419475

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A tutorial on KAM theory.

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Accurate strategies for small divisor problems

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Q4011809

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

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Quantitative quasiperiodicity

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Super convergence of ergodic averages for quasiperiodic orbits

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Barriers to transport and mixing in volume-preserving maps with nonzero flux

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Reliable Computation of Robust Response Tori on the Verge of Breakdown

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

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Computing the conjugacy of invariant tori for volume-preserving maps

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A generic and efficient Taylor series-based continuation method using a quadratic recast of smooth nonlinear systems

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Efficient and reliable algorithms for the computation of non-twist invariant circles

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High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps

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Numerical study of quadratic area-preserving mappings

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

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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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On polynomial forms of nonlinear functional differential equations

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Flow map parameterization methods for invariant tori in Hamiltonian systems

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Numerical computation of the normal behaviour of invariant curves of \(n\)-dimensional maps

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The rate of convergence in ergodic theorems

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High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem

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Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems

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Q4840149

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Q3935355

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On the speed of convergence in the ergodic theorem

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Frequency analysis of a dynamical system

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Q4514087

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The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping

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Automatic differentiation for Fourier series and the radii polynomial approach

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Numerical computation of rotation numbers of quasi-periodic planar curves

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Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods

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Continuation of periodic orbits in conservative and Hamiltonian systems

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Birkhoff averages and the breakdown of invariant tori in volume-preserving maps

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Q4226356

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Birkhoff averages and rotational invariant circles for area-preserving maps

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On the numerical computation of Diophantine rotation numbers of analytic circle maps

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Fourier methods for quasi-periodic oscillations

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Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems

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Mathematics(1 entry)

mardi Publication:6598399