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)

TL;DR

This paper presents a straightforward method to identify nonlinear recursive systems with explicitly solvable solutions that can become asymptotically isochronous over time, enhancing control and predictability.

Contribution

The paper introduces a novel procedure for discovering nonlinear recursion systems with controllable and asymptotically isochronous solutions, expanding the toolkit for analyzing such systems.

Findings

New systems of nonlinear recursions identified

Solutions can be explicitly determined and controlled

Systems may exhibit asymptotic isochrony

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).