Journal of Nonlinear Mathematical Physics

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Volume 26, Issue 2, March 2019, Pages 273 - 280

Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides

Authors
Francesco Calogeroa, b, 1, Farrin Payandeha, c, 2
aPhysics Department, University of Rome “La Sapienza”, Rome, Italy
bINFN, Sezione di Roma 1
cDepartment of Physics, Payame Noor University (PNU), PO BOX, 19395-3697 Tehran, Iran
Corresponding Authors
Francesco Calogero, Farrin Payandeh
Received 21 November 2018, Accepted 16 December 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2019.1591729How to use a DOI?
Abstract

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 values (ℓ = 0, 1, 2, ...), xn ≡ xn(ℓ) are the 2 dependent variables, x˜n≡xn(ℓ+1), and the 2 functions P(n)(x1, x2), n = 1, 2, are 2 polynomials in the 2 dependent variables x1(ℓ) and x2(ℓ). The results reported in this paper have been obtained by an appropriate modification of a recently introduced technique to obtain analogous results in continuous-time t—in which case xn ≡ xn(t) and the above recursion relations are replaced by first-order ODEs. Their potential interest is due to the relevance of this kind of evolution equations in various applicative contexts.

Copyright
© 2019 The Authors. Published by Atlantis and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 2
Pages
273 - 280
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1591729How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Francesco Calogero
AU  - Farrin Payandeh
PY  - 2021
DA  - 2021/01/06
TI  - Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides
JO  - Journal of Nonlinear Mathematical Physics
SP  - 273
EP  - 280
VL  - 26
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2019.1591729
DO  - 10.1080/14029251.2019.1591729
ID  - Calogero2021
ER  -