New solvable dynamical systems

DOI10.1080/14029251.2016.1237198zbMath1421.70022OpenAlexW2536870325MaRDI QIDQ5231041

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/10.1080/14029251.2016.1237198

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items (3)

Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations ⋮ Time-dependent polynomials with \textit {one double} root, and related new solvable systems of nonlinear evolution equations ⋮ A class of new solvable nonlinear isochronous systems and their classical dynamics

Cites Work

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• Generations of monic polynomials such that the coefficients of each polynomial of the next generation coincide with the zeros of a polynomial of the current generation, and new solvable many-body problems
• The Lagrangian structure of Calogero's goldfish model
• Goldfish geodesics and Hamiltonian reduction of matrix dynamics
• Yet another class of \textit{new solvable} \(N\)-body problems of goldfish type
• The Painlevé property for quasihomogeneous systems and a many-body problem in the plane
• Solvable many-body models of goldfish type with one-, two- and three-body forces
• New Solvable Variants of the Goldfish Many-Body Problem
• Novel isochronous N-body problems featuring N arbitrary rational coupling constants
• Novel solvable extensions of the goldfish many-body model
• Novel solvable variants of the goldfish many-body model
• Goldfishing by gauge theory
• Method for Solving the Korteweg-deVries Equation
• Calogero's  goldfish  is indeed a school of free particles
• A new solvable many-body problem of goldfish type
• Novel solvable many-body problems
• A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants
• Time Discretization of F. Calogero's "Goldfish" System
• Isochronous Systems
• Integrals of nonlinear equations of evolution and solitary waves
• The neatest many-body problem amenable to exact treatments (a ``goldfish?)

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