Simple systems of nonlinear recursions whose evolution is rather easily ascertained

2025/02/17 by F. Calogero, Calogero, Francesco
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2502.12331

openalex publication_date 2025/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the solutions of certain systems of nonlinear Örst-order recursions with polynomial right-hand sides may be rather easily ascertained, and display interesting evolutions in their ticking time variable (taking integer values): for instance a remarkable kind of asymptotic periodicity.

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