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Projective integrable mechanical billiards (Q6141711)

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scientific article; zbMATH DE number 7781013

Language	Label	Description	Also known as
English	Projective integrable mechanical billiards	scientific article; zbMATH DE number 7781013

Statements

scholarly article

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Projective integrable mechanical billiards (English)

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publication date

20 December 2023

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full work available at URL

https://arxiv.org/abs/2203.12938

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zbMATH Keywords

mathematical billiards

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integrable systems

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two-center problem

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projective dynamics

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MaRDI profile type

MaRDI publication profile

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There is a projective dynamics

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Projective dynamics and classical gravitation

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The Appell hypergeometric functions and classical separable mechanical systems

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On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies.

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Geometry of integrable billiards and pencils of quadrics

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Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances

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Pseudo-integrable billiards and arithmetic dynamics

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Periods of pseudo-integrable billiards

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An ellipsoidal billiard with a quadratic potential

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Poncelet property and quasi-periodicity of the integrable Boltzmann system

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On two-dimensional polynomially integrable billiards on surfaces of constant curvature

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On polynomially integrable Birkhoff billiards on surfaces of constant curvature

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The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards

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On the local Birkhoff conjecture for convex billiards

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Some integrable extensions of Jacobi's problem of geodesics on an ellipsoid

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Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces

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The billiard ball problem on a table with a convex boundary - An illustrative dynamical problem. I. The invariant integral

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Topological analysis of a billiard bounded by confocal quadrics in a potential field

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Topology of the elliptical billiard with the Hooke's potential

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Exact transverse line fields and projective billiards in a ball

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Introducing projective billiards

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Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid

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Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space

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Projective dynamics and an integrable Boltzmann billiard model

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Identifiers

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10.1088/1361-6544/ad0d6f

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6141711

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