Goldfishing: A new solvable many-body problem

DOI10.1063/1.2344850zbMath1112.37042OpenAlexW1982841207MaRDI QIDQ3442058

Francesco Calogero, Mario Bruschi

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2344850

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) (n)-body problems (70F10)

Related Items (2)

An introduction to associative geometry with applications to integrable systems ⋮ A linear second-order ODE with only polynomial solutions

Cites Work

• A generalisation of the Calogero-Moser system
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• On isochronous Shabat-Yamilov-Toda lattices: equilibrium configurations, behavior in their neighborhood, Diophantine relations and conjectures
• A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem
• On isochronous Bruschi–Ragnisco–Ruijsenaars–Toda lattices: equilibrium configurations, behaviour in their neighbourhood, diophantine relations and conjectures
• New solvable many-body problems in the plane
• Novel solvable extensions of the goldfish many-body model
• Novel solvable variants of the goldfish many-body model
• Isochronous and partially isochronous Hamiltonian systems are not rare
• Goldfishing by gauge theory
• A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
• Nonlinear harmonic oscillators
• Generalized Integrable Many-Body Systems in One Dimension
• Integrable and solvable many-body problems in the plane via complexification
• Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions
• A technique to identify solvable dynamical systems, and a solvable generalization of the goldfish many-body problem
• The transition from regular to irregular motions, explained as travel on Riemann surfaces
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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