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20062019
most citedGenerations of monic polynomials such that the coefficients of the polynomials of the next generation coincide with the zeros of the polynomials of the current generation, and new solvable many-body problems

25 citations · 83 across the 21 of their papers we have counts for

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Showing 2016 · math-phShow all

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math-ph2016★ 16 cited

Generations of solvable discrete-time dynamical systems

Oksana Bihun, Francesco Calogero

A technique is introduced which allows to generate -- starting from any solvable discrete-time dynamical system involving N time-dependent variables -- new, generally nonlinear, ge…

math-ph2016

Novel solvable many-body problems

Oksana Bihun, Francesco Calogero

Novel classes of dynamical systems are introduced, including many-body problems characterized by nonlinear equations of motion of Newtonian type ("acceleration equals forces") whic…