Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides

DOI10.1080/14029251.2019.1591729zbMath1462.37066arXiv1904.02706OpenAlexW3104692898WikidataQ128242714 ScholiaQ128242714MaRDI QIDQ5197847

Francesco Calogero, Farrin Payandeh

Publication date: 20 September 2019

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

Full work available at URL: https://arxiv.org/abs/1904.02706

zbMATH Keywords

evolution equationssolvable dynamics

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)

Related Items (1)

Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations

Cites Work

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• Time-dependent polynomials with \textit {one double} root, and related new solvable systems of nonlinear evolution equations
• New Solvable Variants of the Goldfish Many-Body Problem
• Zeros of Polynomials and Solvable Nonlinear Evolution Equations
• Time-dependent polynomials with one multiple root and new solvable dynamical systems
• Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions
• Generations of solvable discrete-time dynamical systems

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