Maximal tori in infinite-dimensional Hamiltonian systems: a renormalisation group approach (Q6612706)

scientific article; zbMATH DE number 7920610

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English	Maximal tori in infinite-dimensional Hamiltonian systems: a renormalisation group approach	scientific article; zbMATH DE number 7920610

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instance of

scholarly article

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title

Maximal tori in infinite-dimensional Hamiltonian systems: a renormalisation group approach (English)

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Regular and Chaotic Dynamics

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publication date

1 October 2024

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zbMATH Keywords

KAM theory

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infinite-dimensional Hamiltonian systems

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renormalisation group

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MaRDI profile type

Publication

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cites work

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Branching of Cantor manifolds of elliptic tori and applications to PDEs

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Explicit estimates on the measure of primary KAM tori

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Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations

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Compensations in small divisor problems

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V. I. Arnold's ``Pointwise'' KAM theorem

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Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions

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The stability of full dimensional KAM tori for nonlinear Schrödinger equation

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KAM theory in configuration space and cancellations in the Lindstedt series

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A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus

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Localization in disordered, nonlinear dynamical systems

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Majorant series convergence for twistless KAM tori

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KAM theorem revisited

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A KAM theorem for finitely differentiable Hamiltonian systems

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Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation

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The relation between the size of perturbations and the dimension of tori in an infinite-dimensional KAM theorem of Pöschel

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Linear Schrödinger Equation with an Almost Periodic Potential

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Q3711155

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Small divisors with spatial structure in infinite dimensional Hamiltonian systems

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On the construction of almost periodic solutions for a nonlinear Schrödinger equation

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A KAM algorithm for the resonant non-linear Schrödinger equation

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Identifiers

Mathematics Subject Classification ID

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10.1134/S1560354724540025

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Sitelinks

Mathematics(1 entry)

mardi Publication:6612706