Found 49 Documents (Results 1–49)
Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications. (English) Zbl 07850900
Invariant tori of rectilinear type in the spatial three-body problem. (English) Zbl 07845259
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Transverse foliations in the rotating Kepler problem. (English) Zbl 1536.70011
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Relative equilibria and periodic orbits in a circular planar \((2+2)\)-body problem. (English) Zbl 1542.70008
The integral manifolds of the \(N\) body problem. (English) Zbl 1525.70022
MSC:
70F10
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. II: An asymptotic formula. (English) Zbl 1526.70009
Stability, periodic solution and KAM tori in the circular restricted \((N+1)\)-body problem on \({\mathbb{S}}^3\) and \({\mathbb{H}}^3\). (English) Zbl 1527.70011
Stability analysis of resonant rotation of a gyrostat in an elliptic orbit under third-and fourth-order resonances. (English) Zbl 1516.34065
On the restricted \((N + 1)\)-body problem on surfaces of constant curvature. (English) Zbl 1515.70012
Stability and bifurcation in the circular restricted \((N+2)\)-body problem in the sphere \(\mathbb{S}^2\) with logarithmic potential. (English) Zbl 1527.37056
Computational methods in perturbation theory. (English) Zbl 07907929
Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 153-165 (2022).
Parametric resonance in the oscillations of a charged pendulum inside a uniformly charged circular ring. (English) Zbl 1529.70025
Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation. (English) Zbl 1498.70012
Poisson structure and reduction by stages of the full gravitational \(N\)-body problem. (English) Zbl 1505.70033
Periodic orbits for a fifth-order generalized Hénon-Heiles Hamiltonian system. (English) Zbl 1505.37070
Reviewer: Abderrazek Benhassine (Monastir)
A note on the nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. (English) Zbl 1492.70011
The spatial Hill four-body problem. I: An exploration of basic invariant sets. (English) Zbl 1483.70033
Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature. (English) Zbl 1489.70003
Reviewer: Lennard Bakker (Provo)
Numerical investigation on the Hill’s type lunar problem with homogeneous potential. (English) Zbl 1526.70013
A generic impulsive controller for Hamiltonian linear time-periodic systems. (English) Zbl 1498.70026
Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit. (English) Zbl 1481.37105
Nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. (English) Zbl 1477.70019
Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates. (English) Zbl 1479.37060
Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations. (English) Zbl 1472.70031
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation. (English) Zbl 1479.70045
Reduced phase space optics for general relativity: symplectic ray bundle transfer. (English) Zbl 1478.83275
Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). (English) Zbl 1475.70019
Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group. (English. Russian original) Zbl 1459.37042
Program. Comput. Softw. 46, No. 2, 84-97 (2020); translation from Programmirovanie 46, No. 2, 14-29 (2020).
Stability of forced-damped response in mechanical systems from a Melnikov analysis. (English) Zbl 1445.70005
How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. (English) Zbl 1439.70030
On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem. (English) Zbl 1441.70004
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Global existence and singularity of the \(N\)-body problem with strong force. (English) Zbl 1448.70025
Invariant manifolds in the Hamiltonian-Hopf bifurcation. (English) Zbl 1439.37052
Reviewer: Changjin Xu (Guiyang)
Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential. (English) Zbl 1435.37088
Reviewer: Giuseppe Gaeta (Milano)
Dynamics in the charged restricted circular three-body problem. (English) Zbl 1435.37090
Reviewer: Yulianna Perepelkina (Moskva)
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