Francesco Calogero

collaborators

6 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 Ãrst-order recursions with polynomial right-hand sides may be rather easily ascertained, and display interesting evo…

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

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)

Francesco Calogero

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…

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

Solvable nonlinear systems of 2 recursions displaying interesting evolutions

Francesco Calogero

In this paper a class of simple, but nonlinear, systems of recursions involving $2$ dependent variables $x_{j} (n)$ is identified, such that the solutions of their init…

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

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)

Interesting system of 3 first-order recursions

Solvable nonlinear systems of 2 recursions displaying interesting evolutions

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