Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument (Q1999932)

scientific article; zbMATH DE number 7074446

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English	Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument	scientific article; zbMATH DE number 7074446

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instance of

scholarly article

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title

Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument (English)

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27 June 2019

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zbMATH Keywords

three-body problem

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Arnold diffusion

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invariant manifolds

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topological shadowing lemma

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.physd.2016.06.005

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cites work

Q5508817

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Transition tori in the five-body problem

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Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma

0 references

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

0 references

Q4547290

0 references

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

0 references

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

0 references

Transition tori in the planar restricted elliptic three-body problem

0 references

Existence of diffusion orbits in a priori unstable Hamiltonian systems

0 references

Arnold diffusion in Hamiltonian systems: a priori unstable case

0 references

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

0 references

Topological methods in the instability problem of Hamiltonian systems

0 references

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

0 references

The scattering map in the planar restricted three body problem

0 references

Computing the scattering map in the spatial Hill's problem

0 references

Transition map and shadowing lemma for normally hyperbolic invariant manifolds

0 references

Arnold diffusion. I: Announcement of results

0 references

Arnold Diffusion by Variational Methods

0 references

Q4285310

0 references

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

0 references

Arnold diffusion in perturbations of analytic integrable Hamiltonian systems

0 references

Unbounded growth of energy in nonautonomous Hamiltonian systems

0 references

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

0 references

A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results

0 references

Q4466586

0 references

Unbounded energy growth in Hamiltonian systems with a slowly varying parameter

0 references

Diffusion speed in the Mather problem

0 references

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

0 references

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

0 references

Arnol'd diffusion in the elliptic restricted three-body problem

0 references

Arnold diffusion and oscillatory solutions in the planar three-body problem

0 references

Arnold diffusion in a restricted planar four-body problem

0 references

Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near $L_ 2$ in the restricted three-body problem

0 references

Q4778524

0 references

Q5369428

0 references

Properties of Center Manifolds

0 references

Isolating blocks near the collinear relative equilibria of the three-body problem

0 references

Connecting orbits and invariant manifolds in the spatial restricted three-body problem

0 references

Existence of a Center Manifold in a Practical Domain around $L_1$ in the Restricted Three-Body Problem

0 references

Linearization of normally hyperbolic diffeomorphisms and flows

0 references

Q4771890

0 references

Introduction to Hamiltonian dynamical systems and the $N$-body problem.

0 references

On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems

0 references

A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems

0 references

Dynamics in the center manifold of the collinear points of the restricted three-body problem

0 references

Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points

0 references

High-order expansions of invariant manifolds of libration point orbits with applications to mission design

0 references

A note on a Lagrangian formulation for motion about the collinear points

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Normal Forms and Unfoldings for Local Dynamical Systems

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Identifiers

zbMATH Open document ID

1415.70019

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Mathematics Subject Classification ID

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10.1016/J.PHYSD.2016.06.005

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Sitelinks

Mathematics(1 entry)

mardi Publication:1999932