38 citations · 342 across the 46 of their papers we have counts for
46 papers
Variations on a Theme of Collatz
Mario Bruschi, Francesco Calogero
Consider the recursive relation generating a new positive integer from the positive integer according to the following simple rules: if the integer $n_{\e…
New Solvable System OF 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations
Francesco Calogero, Farrin Payandeh
In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem…
SOME Special Solutions of a Nonlinear System of 4 Ordinary Differential Equations Recently Introduced to Investigate the Evolution of Human Respiratory Virus Epidemics
Francesco Calogero, Andrea Giansanti, Farrin Payandeh
A system of 4 nonlinearly-coupled Ordinary Differential Equations has been recently introduced to investigate the evolution of human respiratory virus epidemics. In this paper we p…
A solvable nonlinear autonomous recursion of arbitrary order
Francesco Calogero, Farrin Payandeh
The initial-values problem of the following nonlinear autonomous recursion of order p , z (s + p) = c product of [z (s + l)]^a_l ; with p an arbitrary positive integer, z (s) the d…
Explicitly solvable algebraic equations of degree 8 and 9
Francesco Calogero, Farrin Payandeh
The generic monic polynomial of degree N features N a priori arbitrary coefficients and N zeros . In this paper we limit consideration to and . We show th…
Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides
Francesco Calogero, Farrin Payandeh
In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their…