Journal of Nonlinear Mathematical Physics

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Volume 25, Issue 3, July 2018, Pages 433 - 441

Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings

Authors
Francesco Calogero
Dipartimento di Fisica, Università di Roma “La Sapienza” Istituto Nazionale di Fisica Nucleare, Sezione di Roma,francesco.calogero@roma1.infn.it,francesco.calogero@uniroma1.it
Received 19 January 2018, Accepted 16 March 2018, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1494753How to use a DOI?
Abstract

We use previous results concerning the time evolution of the zeros xn(t) of time-dependent polynomials pN(z; t) or entire functions F(z; t) of the complex variable z, in order to identify lots of nonlinearly-coupled, finite or infinite, systems of Ordinary Differential Equations the solutions of which feature remarkable Diophantine properties.

Copyright
© 2018 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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 3
Pages
433 - 441
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1494753How to use a DOI?
Copyright
© 2018 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
PY  - 2021
DA  - 2021/01/06
TI  - Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings
JO  - Journal of Nonlinear Mathematical Physics
SP  - 433
EP  - 441
VL  - 25
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1494753
DO  - 10.1080/14029251.2018.1494753
ID  - Calogero2021
ER  -