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Arnold diffusion for a complete family of perturbations (Q1707954)

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Language	Label	Description	Also known as
English	Arnold diffusion for a complete family of perturbations	scientific article

Statements

scholarly article

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Arnold diffusion for a complete family of perturbations (English)

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Amadeu Delshams

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Rodrigo G. Schaefer

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Regular and Chaotic Dynamics

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publication date

4 April 2018

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full work available at URL

https://arxiv.org/abs/1608.08408

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zbMATH Keywords

Arnold diffusion

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normally hyperbolic invariant manifold

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scattering map

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MaRDI profile type

MaRDI publication profile

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Arnold's Diffusion: from the a priori unstable to the a priori stable case

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Drift in phase space: A new variational mechanism with optimal diffusion time

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Upper bounds on Arnold diffusion time via Mather theory

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Improved exponential stability for near-integrable quasi-convex Hamiltonians

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Arnold diffusion in Hamiltonian systems: a priori unstable case

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The transfer lemma for Graff tori and Arnold diffusion time

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Symbolic dynamics and Arnold diffusion

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Periodic orbits and Arnold diffusion

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A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)

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A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model

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Geometric properties of the scattering map of a normally hyperbolic invariant manifold

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Geography of resonances and Arnold diffusion in<i>a priori</i>unstable Hamiltonian systems

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A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems

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Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma

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Hamiltonian systems with orbits covering densely submanifolds of small codimension

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An example of Arnold diffusion for near-integrable Hamiltonians

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Geometry of Arnold Diffusion

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Arnold diffusion for smooth convex systems of two and a half degrees of freedom

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Complex analysis and convolution operators

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Diffusion times and stability exponents for nearly integrable analytic systems

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Arnold Diffusion by Variational Methods

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

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Evolution of slow variables in<b><i>a priori</i></b>unstable Hamiltonian systems

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Arnold diffusion far from strong resonances in multidimensional<b><i>a priori</i></b>unstable Hamiltonian systems

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Speed of Arnold diffusion for analytic Hamiltonian systems

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Identifiers

zbMATH Open document ID

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10.1134/S1560354717010051

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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:1707954

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