A simple approach to identify systems of nonlinear recursions featuring solutions whose evolution is explicitly ascertainable and which may be asymptotically isochronous as functions of the independent variable (a ticking time)

2024/10/18 by Calogero, Francesco
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2410.14448

Abstract

In this paper a procedure is described which allows to identify new systems of nonlinear recursions whose solutions are controllable and which may be asymptotically isochronous as functions of the independent variable (considered a ticking time).

Related

• Simple systems of nonlinear recursions whose evolution is rather easily ascertained
• Interesting system of 3 first-order recursions
• Simple recursions displaying interesting evolutions
• Systems of several first-order quadratic recursions whose evolution is easily ascertainable
• Solvable nonlinear systems of 2 recursions displaying interesting evolutions