17 citations · 71 across the 21 of their papers we have counts for
20 papers
A system of 2 nonlinearly coupled ODEs which is explicitly solvable and possibly isochronous provided its coefficients are suitably restricted
Fabio Briscese, Francesco Calogero, Farrin Payandeh
In this paper we discuss some remarkable properties of the autonomous system of 2 first-order Ordinary Differential Equations (ODEs), which equates the derivatives (…
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…