Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions

DOI10.1063/1.5082249zbMath1421.37024arXiv1904.00496OpenAlexW3103818781MaRDI QIDQ5234083

Farrin Payandeh, Francesco Calogero

Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1904.00496

zbMATH Keywords

zeros of polynomialssolvable dynamics

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Dynamics of multibody systems (70E55)

Related Items (5)

A class of new solvable nonlinear isochronous systems and their classical dynamics ⋮ New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides ⋮ Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial right-hand sides ⋮ Solution of the system of two coupled first-order ODEs with second-degree polynomial right-hand sides ⋮ Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides

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