First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems (Q5264316)

scientific article; zbMATH DE number 6464863

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English	First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems	scientific article; zbMATH DE number 6464863

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scholarly article

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title

First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems (English)

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Chaos: An Interdisciplinary Journal of Nonlinear Science

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publication date

27 July 2015

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.3603819

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cites work

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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Normal form theory for volume preserving maps

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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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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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On the connection between the Nekhoroshev theorem and Arnold diffusion

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Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems

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Fast Lyapunov indicators. Application to asteroidal motion

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On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool

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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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Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems

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

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

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On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems

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First numerical evidence of global Arnold diffusion in quasi-integrable systems

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Diffusion and stability in perturbed non-convex integrable systems

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A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems

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A numerical study of Arnold diffusion in a priori unstable systems

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Topics in gravitational dynamics. Solar, extra-solar and galactic systems. Selected papers based on the presentations at the 2006 Aussois winter school, France

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Detection of Arnold diffusion in Hamiltonian systems

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Diffusion in Hamiltonian Quasi-Integrable Systems

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Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings

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A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems

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The Nekhoroshev theorem and the asteroid belt dynamical system

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Invariant KAM tori and global stability for Hamiltonian systems

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On the role of high order resonances in normal forms and in separatrix splitting

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

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The separation of motions in systems with rapidly rotating phase

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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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Nekhoroshev estimates for quasi-convex Hamiltonian systems

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Identifiers

zbMATH Open document ID

1317.37059

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DOI

10.1063/1.3603819

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5264316