Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem

DOI10.1080/14029251.2013.792494zbMath1421.70018OpenAlexW2020679826MaRDI QIDQ5230887

Ge Yi, Oksana Bihun, Francesco Calogero

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.792494

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) (n)-body problems (70F10)

Related Items (5)

Properties of the zeros of generalized basic hypergeometric polynomials ⋮ Properties of the zeros of the polynomials belonging to the Askey scheme ⋮ Properties of the zeros of the polynomials belonging to the \(q\)-Askey scheme ⋮ Time-dependent polynomials with one multiple root and new solvable dynamical systems ⋮ Equilibria of a solvable N-body problem and related properties of the N numbers x _n at which the Jacobi polynomial of order N has the same value

Cites Work

• Polynomials satisfying functional and differential equations and Diophantine properties of their zeros
• Can thegeneralsolution of the second-order ODE characterizing Jacobi polynomials bepolynomial?
• Diophantine properties of the zeros of certain Laguerre and para-Jacobi polynomials
• Isochronous Systems
• A solvable many-body problem, its equilibria, and a second-order ordinary differential equation whose general solution is polynomial
• Unnamed Item
• Unnamed Item

This page was built for publication: Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem