Novel solvable variants of the goldfish many-body model

DOI10.1063/1.2167917zbMath1111.70008OpenAlexW1969569177MaRDI QIDQ3441606

Mario Bruschi, Francesco Calogero

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2167917

zbMATH Keywords

equilibrium configurationsdiophantine relationsisochronous model

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items (7)

Goldfishing: A new solvable many-body problem ⋮ Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type ⋮ A linear second-order ODE with only polynomial solutions ⋮ 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

Cites Work

• A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem
• Novel solvable extensions of the goldfish many-body model
• A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
• Nonlinear harmonic oscillators
• Integrable and solvable many-body problems in the plane via complexification
• 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?)

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