Two New Solvable Dynamical Systems of Goldfish Type

DOI10.1142/S1402925110000970zbMath1210.37041OpenAlexW2067506601MaRDI QIDQ3060137

Francesco Calogero

Publication date: 1 December 2010

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

Full work available at URL: https://doi.org/10.1142/s1402925110000970

zbMATH Keywords

integrable dynamical systemsisochronous systemszeros of classical polynomialssolvable many-body problemsdynamical systems of Goldfish type

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) (n)-body problems (70F10)

Related Items (4)

New Solvable Many-Body Model of Goldfish Type ⋮ Another new goldfish model ⋮ TWO QUITE SIMILAR MATRIX ODES AND THE MANY-BODY PROBLEMS RELATED TO THEM ⋮ On a technique to identify solvable discrete-time many-body problems

Cites Work

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• A generalisation of the Calogero-Moser system
• Novel solvable extensions of the goldfish many-body model
• Isochronous Systems

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