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An Overview on the Nekhoroshev Theorem - MaRDI portal

An Overview on the Nekhoroshev Theorem (Q3613178)

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Language	Label	Description	Also known as
English	An Overview on the Nekhoroshev Theorem	scientific article

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scholarly article

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An Overview on the Nekhoroshev Theorem (English)

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zbMATH Open document ID

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10.1007/978-3-540-72984-6_1

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Massimilliano Guzzo

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Topics in Gravitational Dynamics

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publication date

12 March 2009

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-540-72984-6_1

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PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I

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Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part II: Gyroscopic rotations

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

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Regular and chaotic motions of the fast rotating rigid body: A numerical study.

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

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Stability of motions near resonances in quasi-integrable Hamiltonian systems

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Exponential stability for the resonant D'Alembert model of celestial mechanics

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Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom

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On the stability of realistic three-body problems

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Improved estimates on the existence of invariant tori for Hamiltonian systems

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Le problème général des variables actions-angles. (The general problem of action-angle variables)

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An algorithm for detecting directional quasi-convexity

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Hamiltonian perturbation theory on a manifold

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Superintegrable Hamiltonian systems: Geometry and perturbations

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Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems

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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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Diffusion and stability in perturbed non-convex integrable systems

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Probing the Nekhoroshev stability of asteroids

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

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Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems

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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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Large scale chaos and marginal stability in the solar system

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Complex analysis and convolution operators

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Invariant tori in the secular motions of the three-body planetary systems

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Generalized Liouville method of integration of Hamiltonian systems

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The Nekhoroshev theorem and the asteroid belt dynamical system

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New aspects in the theory of stability of Hamiltonian systems

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

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An analytic model of three-body mean motion resonances

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On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom

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Wisdom system: dynamics in the adiabatic approximation

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Stability over exponentially long times in the planetary problem

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Exponential stability for small perturbations of steep integrable Hamiltonian systems

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Prevalence of exponential stability among nearly integrable Hamiltonian systems

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Hamiltonian stability and subanalytic geometry

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Nekhoroshev estimates for quasi-convex Hamiltonian systems

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Chaotic Evolution of the Solar System

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