English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we identify certain peculiar systems of 2 discrete-timeevolution equations,x~n = F^(n)(x1; x2) , n = 1, 2 , which are algebraicallysolvable. Here l is the "discrete-time" independent variable taking integervalues (l = 0, 1, 2,...), xn = xn (l) are 2 dependent variables, and x~n = xn(l + 1) are the corresponding 2 updated variables. In a previous paper the 2functions F^(n)(x1, x2), n = 1, 2 were defined as follows: F^(n)(x1; x2) = P2(xn, xn+1), n = 1,2 mod[2]; with P2 (x1; x2) a specific second-degreehomogeneous polynomials in the 2 (indistinguishable!) dependent variables x1(`) and x2 (l). In the present paper we further clarify some aspects of thatmodel and we present its extension to the case when F(n)(x1, x2) = Q^(n)_k(x1,x2), n = 1, 2 mod[2], with Q(n)_k(x1; x2) a specific homogeneous function ofarbitrary (integer ) degree k (hence a polynomial of degree k when k > 0) inthe 2 dependent variables x1 (l) and x2 (l).

journal of nonlinear mathematical physics

Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables  Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion  Relations