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Branches of periodic orbits for the planar restricted 3-body problem

https://doi.org/10.3934/dcds.2004.11.745
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jdeq.2000.3835openalex-snapshot
Symbolic Dynamics for the Hénon–Heiles Hamiltonian on the Critical Level
inferredcites →https://doi.org/10.1007/978-1-4612-1140-2openalex-snapshot
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
inferredcites →https://doi.org/10.1007/978-3-319-53691-0openalex-snapshot
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
inferredcites →https://doi.org/10.1007/978-3-642-87284-6openalex-snapshot
Lectures on Celestial Mechanics
inferredcites →https://doi.org/10.1007/s00220-002-0666-7openalex-snapshot
Periodic Orbits, Symbolic Dynamics and Topological Entropy for the Restricted 3-Body Problem
inferredcites →https://doi.org/10.1007/s102080010025openalex-snapshot
C1 Lohner Algorithm
inferredcites →https://doi.org/10.1016/0167-2789(94)90101-5openalex-snapshot
Reversing k-symmetries in dynamical systems
inferredcites →https://doi.org/10.1016/s0294-1449(00)00122-0openalex-snapshot
Minimization properties of Hill's orbits and applications to some N -body problems
inferredcites →https://doi.org/10.1063/1.3068879openalex-snapshot
Stable and Random Motions in Dynamical Systems
inferredcites →https://doi.org/10.1088/0305-4470/25/4/028openalex-snapshot
Reversing symmetries in dynamical systems
inferredcites →https://doi.org/10.4064/ap-74-1-237-259openalex-snapshot
Set arithmetic and the enclosing problem in dynamics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4671783openalex-extracted
Computer Assisted Proofs for Transverse Collision and Near Collision Orbits in the Restricted Three Body Problem
inferred← citeshttps://doi.org/10.1007/s10569-018-9879-8openalex-snapshot
Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence
inferred← citeshttps://doi.org/10.1016/j.cnsns.2013.12.025openalex-snapshot
Systematic Computer Assisted Proofs of periodic orbits of Hamiltonian systems
inferred← citeshttps://doi.org/10.1016/j.jde.2018.08.007openalex-snapshot
Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem
inferred← citeshttps://doi.org/10.1016/j.jde.2023.03.053openalex-snapshot
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
inferred← citeshttps://doi.org/10.1016/j.physd.2016.02.007openalex-snapshot
Automatic differentiation for Fourier series and the radii polynomial approach
inferred← citeshttps://doi.org/10.1088/1361-6544/abcb08openalex-snapshot
Torus knot choreographies in the n -body problem
inferred← citeshttps://doi.org/10.1088/1361-6544/adbda3openalex-snapshot
Branches and bifurcations of ejection–collision orbits in the planar circular restricted three body problem
inferred← citeshttps://doi.org/10.1090/psapm/074/00642openalex-snapshot
Validated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbits
inferred← citeshttps://doi.org/10.1142/s0218127417300506openalex-snapshot
Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications
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