17 citations · 71 across the 21 of their papers we have counts for
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Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides
Francesco Calogero, Farrin Payandeh
The evolution equations mentioned in the title of this paper read as follows: x~n = P(n)(x1; x2) , n = 1, 2 , where l is the "discrete-time" independent variable taking integer val…
Some Algebraically Solvable Two-Dimensional Dynamical Systems with Polynomial Interactions
Francesco Calogero, Farrin Payandeh
We tersely review a recently introduced technique to identify systems of two nonlinearly-coupled Ordinary Di§erential Equations (ODEs) solvable by algebraic operations; and we repo…
Solvable Dynamical Systems in the Plane with Polynomial Interactions
Francesco Calogero, Farrin Payandeh
In this paper we report a few examples of algebraically solvable dynamical systems characterized by 2 coupled Ordinary Differential Equations which read as follows: x_n = P(n) (x1,…
Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations
Francesco Calogero, Farrin Payandeh
In this paper we identify certain peculiar systems of 2 discrete-time evolution equations,x~n = F^(n)(x1; x2) , n = 1, 2 , which are algebraically solvable. Here l is the "discrete…
Polynomials with Multiple Zeros and Solvable Dynamical Systems including Models in the Plane with Polynomial Interactions
Francesco Calogero, Farrin Payandeh
The interplay among the time-evolution of the coefficients and the zeros of a generic time-dependent (monic) polynomial provides a convenient tool to identify certain classes of so…