The Parameterization Method for Invariant Manifolds

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Cover of 'The Parameterization Method for Invariant Manifolds'

Table of Contents

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Book Overview
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Chapter 1 An Overview of the Parameterization Method for Invariant Manifolds
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Chapter 2 Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points
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Chapter 3 The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics
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Chapter 4 The Parameterization Method in KAM Theory
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Chapter 5 A Newton-like Method for Computing Normally Hyperbolic Invariant Tori

Attention for Chapter 3: The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics

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Citations

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So far, Dimensions has found 147 publications that cite this research output.

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Invariant manifolds of maps and vector fields with nilpotent parabolic tori

Article in Journal of Differential Equations (July 2024)

A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems

Article in Physica D Nonlinear Phenomena (June 2024)

Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the (n+2)-Body Problem

Article in Archive for Rational Mechanics and Analysis (May 2024)

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