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Nekhoroshev theory (Q6599396)

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scientific article; zbMATH DE number 7907935

Language	Label	Description	Also known as
English	Nekhoroshev theory	scientific article; zbMATH DE number 7907935

Statements

scholarly article

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Nekhoroshev theory (English)

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Laurent Niederman

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publication date

6 September 2024

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zbMATH Keywords

integrability

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quasi-integrability

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perturbation theory

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MaRDI profile type

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Stability of motions near resonances in quasi-integrable Hamiltonian systems

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On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms

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Adiabatic invariants and trapping of a point charge in a strong nonuniform magnetic field

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A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems

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A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom

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Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem

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A geometric setting for Hamiltonian perturbation theory

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

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On the stability of the Lagrangian points in the spatial restricted problem of three bodies

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Effective stability and KAM theory

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An algorithm for detecting directional quasi-convexity

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Nonconvergence of formal integrals: II. Improved estimates for the optimal order of truncation

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Stability properties of the Riemann ellipsoids

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Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems

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On the problem of stability for near to integrable Hamiltonian systems

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Invariant KAM tori and global stability for Hamiltonian systems

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Exponential stability for time dependent potentials

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Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

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A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps

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A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis

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Construction of a Nekhoroshev like result for the asteroid belt dynamical system

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Diffusion and stability in perturbed non-convex integrable systems

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Geometric Numerical Integration

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On the Equilateral Configuration in the Restricted Problem of Three Bodies

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Complex analysis and convolution operators

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Hamiltonian perturbation theory: periodic orbits, resonances and intermittency

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Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas

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Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian

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Diffusion times and stability exponents for nearly integrable analytic systems

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Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems

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On the KAM and Nekhoroshev theorems for symplectic integrators and implications for error growth

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Superexponential stability of KAM tori.

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The Nekhoroshev theorem and the asteroid belt dynamical system

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The separation of motions in systems with rapidly rotating phase

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STABLE LOWER ESTIMATES FOR SMOOTH MAPPINGS AND FOR GRADIENTS OF SMOOTH FUNCTIONS

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AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system

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Exponential stability for small perturbations of steep integrable Hamiltonian systems

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Hamiltonian stability and subanalytic geometry

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Prevalence of exponential stability among nearly integrable Hamiltonian systems

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Nekhoroshev estimates for quasi-convex Hamiltonian systems

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Gevrey separation of fast and slow variables

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Long time stability for the main problem of artificial satellites

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Estimates for non-resonant normal forms in Hamiltonian perturbation theory

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Identifiers

zbMATH Open document ID

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10.1007/978-1-0716-2621-4_352

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6599396

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