Novel solvable extensions of the goldfish many-body model

DOI10.1063/1.2061547zbMath1111.70009OpenAlexW2052441070MaRDI QIDQ3438654

Francesco Calogero, S. Iona

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2061547

zbMATH Keywords

equilibrium configurationsdiophantine relationsisochronous model

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) (n)-body problems (70F10)

Related Items (10)

Isochronous and partially isochronous Hamiltonian systems are not rare ⋮ Goldfishing by gauge theory ⋮ Goldfishing: A new solvable many-body problem ⋮ Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type ⋮ Two New Solvable Dynamical Systems of Goldfish Type ⋮ Isochronous Dynamical System and Diophantine Relations I ⋮ A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants ⋮ New solvable dynamical systems ⋮ A new class of solvable dynamical systems ⋮ Novel solvable variants of the goldfish many-body model

Cites Work

• A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem
• A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

This page was built for publication: Novel solvable extensions of the goldfish many-body model