Classification of positive elliptic-elliptic rotopulsators on Clifford tori (Q6155819)

scientific article; zbMATH DE number 7693129

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English	Classification of positive elliptic-elliptic rotopulsators on Clifford tori	scientific article; zbMATH DE number 7693129

Statements

instance of

scholarly article

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title

Classification of positive elliptic-elliptic rotopulsators on Clifford tori (English)

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author

Pieter Tibboel

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published in

Journal of Mathematical Analysis and Applications

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publication date

7 June 2023

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full work available at URL

https://arxiv.org/abs/2011.14539

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zbMATH Keywords

curved $n$-body problem

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constant Gaussian curvature space

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regular polygon

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elliptic-elliptic rotopulsator positiveness criterion

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MaRDI profile type

MaRDI publication profile

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cites work

Continuation of relative equilibria in the $n$-body problem to spaces of constant curvature

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The restricted two-body problem in constant curvature spaces

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Two-body problem on a sphere. Reduction, stochasticity, periodic orbits

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Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

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Variational property of periodic Kepler orbits in constant curvature spaces

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On the singularities of the curved $n$-body problem

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Polygonal homographic orbits of the curved $n$-body problem

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Relative equilibria of the curved $N$-body problem.

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The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem

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The curved $N$-body problem: risks and rewards

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The Classical N-body Problem in the Context of Curved Space

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Rotopulsators of the curved $N$-body problem

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The $n$-body problem in spaces of constant curvature. II: Singularities

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All the Lagrangian relative equilibria of the curved 3-body problem have equal masses

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Central configurations of the curved $N$-body problem

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Stability of fixed points and associated relative equilibria of the 3-body problem on ${\mathbb {S}}^1$ and ${\mathbb {S}}^2$

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Rectangular orbits of the curved 4-body problem

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Kepler's problem in constant curvature spaces

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Computing Planar and Spherical Choreographies

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An intrinsic approach in the curved $n$-body problem. The positive curvature case

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Hyperbolic relative equilibria for the negative curved $n$-body problem

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Bifurcation of relative equilibria for vortices and general homogeneous potentials

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Polygonal homographic orbits in spaces of constant curvature

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Existence of a class of rotopulsators

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Existence of a lower bound for the distance between point masses of relative equilibria in spaces of constant curvature

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Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous n-body problems and the curved n-body problem

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Finiteness of polygonal relative equilibria for generalised quasi-homogeneous $n$-body problems and $n$-body problems in spaces of constant curvature

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Polygonal rotopulsators of the curved n-body problem

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Circular non-collision orbits for a large class of $n$-body problems

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Results on equality of masses for choreographic solutions of n-body problems

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Eulerian relative equilibria of the curved 3-body problems in 𝐒²

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Three-dimensional central configurations in ℍ3 and 𝕊3

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Identifiers

zbMATH Open document ID

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10.1016/j.jmaa.2023.127154

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6155819