Journal of Nonlinear Mathematical Physics

Volume 17, Issue 1, March 2010, Pages 111 - 120

Solvable Systems of Isochronous, Multi-Periodic or Asymptotically Isochronous Nonlinear Oscillators

Authors
F. Calogero
Dipartimento di Fisica, Università di Roma “La Sapienza”, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Roma,francesco.calogero@roma1.infn.it,francesco.calogero@uniroma1.it
F. Leyvraz
Centro Internacional de Ciencias, Cuernavaca, Mexico
Departamento de Física, Universidad de los Andes, Bogotá, Colombia,fa.leyvraz44@uniandes.edu.co
Received 12 May 2009, Accepted 12 August 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925110000623How to use a DOI?
Keywords
Nonlinear oscillators; isochronous; multi-periodic; asymptotically isochronous; matrix ODEs
Abstract

A simple technique is identified to manufacture solvable nonlinear dynamical systems, and in particular three classes whose generic solutions are, respectively, isochronous, multi-periodic, or asymptotically isochronous.

Copyright
© 2010 The Authors. Published by Atlantis Press 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
17 - 1
Pages
111 - 120
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000623How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press 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

TY  - JOUR
AU  - F. Calogero
AU  - F. Leyvraz
PY  - 2021
DA  - 2021/01/07
TI  - Solvable Systems of Isochronous, Multi-Periodic or Asymptotically Isochronous Nonlinear Oscillators
JO  - Journal of Nonlinear Mathematical Physics
SP  - 111
EP  - 120
VL  - 17
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000623
DO  - 10.1142/S1402925110000623
ID  - Calogero2021
ER  -