Francesco Calogero

collaborators

4 papers

nlin.SI2025

Simple systems of nonlinear recursions whose evolution is rather easily ascertained

Francesco Calogero

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 evol…

nlin.SI2025

Some properties of the simple nonlinear recursion $y (ℓ + 1) = [1 - y (ℓ)]^{p}$ with $p$ an arbitrary positive integer

Francesco Calogero

It is shown that the behavior of the solutions of the nonlinear recursion $y (ℓ + 1) = [1 - y (ℓ)]^{p}$ -- where the dependent variable $y (l)$ is a real number, $ℓ = 0; 1; 2...$ …

nlin.SI2024

Interesting system of $3$ first-order recursions

Francesco Calogero

In this paper we firstly review how to \textit{explicitly} solve a system of $3$ \textit{first-order linear recursions }and outline the main properties of these solutions. Next, vi…

nlin.SI2024

Simple recursions displaying interesting evolutions

Francesco Calogero

Some simple nonlinear recursions which can be completely managed are identified and the behaviour of all their solutions is ascertained.

Simple systems of nonlinear recursions whose evolution is rather easily ascertained

Some properties of the simple nonlinear recursion y(ℓ+1)=[1−y(ℓ)]p with p an arbitrary positive integer

Interesting system of 3 first-order recursions

Simple recursions displaying interesting evolutions

Some properties of the simple nonlinear recursion $y (ℓ + 1) = [1 - y (ℓ)]^{p}$ with $p$ an arbitrary positive integer

Interesting system of $3$ first-order recursions