Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 3, September 2010, Pages 397 - 414

Two New Solvable Dynamical Systems of Goldfish Type

Authors
F. Calogero
Dipartimento di Fisica, Università di Roma “La Sapienza”, Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy,francesco.calogero@roma1.infn.it,francesco.calogero@uniroma1.it
Received 22 January 2010, Accepted 19 March 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110000970How to use a DOI?
Keywords
Integrable dynamical systems; solvable many-body problems; isochronous systems; zeros of classical polynomials; dynamical systems of goldfish type
Abstract

Two new solvable dynamical systems of goldfish type are identified, as well as their isochronous variants. The equilibrium configurations of these isochronous variants are simply related to the zeros of appropriate Laguerre and Jacobi polynomials.

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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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 3
Pages
397 - 414
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000970How 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

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TY  - JOUR
AU  - F. Calogero
PY  - 2021
DA  - 2021/01/07
TI  - Two New Solvable Dynamical Systems of Goldfish Type
JO  - Journal of Nonlinear Mathematical Physics
SP  - 397
EP  - 414
VL  - 17
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000970
DO  - 10.1142/S1402925110000970
ID  - Calogero2021
ER  -