Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem (Q6049736)

scientific article; zbMATH DE number 7748337

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English	Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem	scientific article; zbMATH DE number 7748337

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instance of

scholarly article

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title

Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem (English)

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Communications on Pure and Applied Mathematics

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publication date

11 October 2023

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full work available at URL

https://arxiv.org/abs/1812.03665

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zbMATH Keywords

time-periodic perturbations

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topological method

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Hausdorff dimension

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MaRDI profile type

MaRDI publication profile

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cites work

Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

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Fast Arnold diffusion in systems with three time scales

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An approach to arnold's diffusion through the calculus of variations

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Upper bounds on Arnold diffusion time via Mather theory

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Unbounded growth of energy in nonautonomous Hamiltonian systems

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An Example of Instability in High-dimensional Hamiltonian Systems

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Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification

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Transition tori in the planar restricted elliptic three-body problem

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Existence of diffusion orbits in a priori unstable Hamiltonian systems

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Arnold diffusion in Hamiltonian systems: a priori unstable case

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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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Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows.

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

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Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion

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Transition map and shadowing lemma for normally hyperbolic invariant manifolds

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Global instability in the restricted planar elliptic three body problem

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Q3968495

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Q4431283

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Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem

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Arnold diffusion in perturbations of analytic integrable Hamiltonian systems

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Analysis of the chaotic behaviour of orbits diffusing along the Arnold web

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Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action

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Unbounded energy growth in Hamiltonian systems with a slowly varying parameter

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Topological methods in the instability problem of Hamiltonian systems

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Perturbations of geodesic flows by recurrent dynamics

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A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results

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Diffusion along transition chains of invariant tori and Aubry–Mather sets

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

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Arnold diffusion of charged particles in ABC magnetic fields

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Brownian Motion

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Resonance transport in near-integrable systems with many degrees of freedom

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Arnold diffusion far from strong resonances in multidimensionala prioriunstable Hamiltonian systems

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Identifiers

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Sitelinks

Mathematics(1 entry)

mardi Publication:6049736