Novel solvable many-body problems

DOI10.1080/14029251.2016.1161260zbMath1421.70017arXiv1601.04793OpenAlexW2296071912MaRDI QIDQ5231022

Francesco Calogero, Oksana Bihun

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1601.04793

zbMATH Keywords

new solvable many-body problemszeros and coefficients of monic polynomialsgenerations of monic polynomial

Mathematics Subject Classification ID

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

Related Items (9)

Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations ⋮ Novel isochronous N-body problems featuring N arbitrary rational coupling constants ⋮ 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 ⋮ Generations of solvable discrete-time dynamical systems ⋮ Time-dependent polynomials with one multiple root and new solvable dynamical systems ⋮ A convenient expression of the time-derivative zn(k)(t) , of arbitrary order k, of the zero z _n (t) of a time-dependent polynomial p _N (z;t) of arbitrary degree N in z, and solvable dynamical systems ⋮ A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants ⋮ New solvable dynamical systems ⋮ Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions

Cites Work

• 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
• New Solvable Variants of the Goldfish Many-Body Problem
• Asymptotically isochronous systems
• A new solvable many-body problem of goldfish type
• A Solvable N-body Problem of Goldfish Type Featuring N² Arbitrary Coupling Constants
• Isochronous Systems
• Unnamed Item

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