scientific article; zbMATH DE number 7385016

Publication date: 25 August 2021

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2021/63/abstr.html#latest

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periodic orbit residue theorem averaging theory spatial anisotropic Kepler problem

Two-body problems (70F05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems in classical and celestial mechanics (37N05) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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Periodic orbits of Hamiltonian systems: applications to perturbed Kepler problems
The quantization of a classically ergodic system
Introduction to Hamiltonian dynamical systems and the $N$-body problem.
Collision orbits in the anisotropic Kepler problem
On the periodic orbits of four-particle time-dependent FPU chains
Averaging methods for nonlinear systems with a small parameter via reduction and topological degree
On the global dynamics of the anisotropic Manev problem
Periodic solutions of nonlinear differential systems by the method of averaging.
Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem
Periodic orbits for anisotropic perturbations of the Kepler problem
Phase portraits of the two-body problem with Manev potential
Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials
Periodic orbits of the spatial anisotropic Manev problem
Periodic Orbits of the Planar Anisotropic Kepler Problem
Qualitative analysis of the anisotropic Kepler problem
The Kepler problem with anisotropic perturbations
Blowing Up Singularities in Classical Mechanical Systems
Stability in the anisotropic Manev problem
On the anisotropic Manev problem
Symmetric periodic solutions of the anisotropic Manev problem
Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients
The global flow of the Manev problem
Periodic orbits of the planar anisotropic generalized Kepler problem
Saari’s conjecture for the collinear $n$-body problem
New families of symmetric periodic solutions of the spatial anisotropic Manev problem
Stability and instability in the anisotropic Kepler problem
Nonintegrability and chaos in the anisotropic Manev problem
Periodic solutions for any planar symmetric perturbation of the Kepler problem

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