Journal of Nonlinear Mathematical Physics

Volume 10, Issue 2, May 2003, Pages 157 - 214

Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions

Authors
F CALOGERO, J-P FRANC¸OISE, M SOMMACAL
Corresponding Author
F CALOGERO
Available Online 9 December 2006.
DOI
https://doi.org/10.2991/jnmp.2003.10.2.4How to use a DOI?
Abstract
Various solutions are displayed and analyzed (both analytically and numerically) of a recently-introduced many-body problem in the plane which includes both integrable and nonintegrable cases (depending on the values of the coupling constants); in paticular the origin of certain periodic behaviors is explained. The light thereby shone on the connection among integrability and analyticity in (complex) time, as well as on the emergence of a chaotic behavior (in the guise of a sensitive dependance on the initial data) not associated with any local exponential divergence of trajectories in phase space, might illuminate interesting phenomena of more general validity than for the particular model considered herein.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 2
Pages
157 - 214
Publication Date
2006/12
ISSN
1402-9251
DOI
https://doi.org/10.2991/jnmp.2003.10.2.4How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - F CALOGERO
AU  - J-P FRANC¸OISE
AU  - M SOMMACAL
PY  - 2006
DA  - 2006/12
TI  - Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 157
EP  - 214
VL  - 10
IS  - 2
SN  - 1402-9251
UR  - https://doi.org/10.2991/jnmp.2003.10.2.4
DO  - https://doi.org/10.2991/jnmp.2003.10.2.4
ID  - CALOGERO2006
ER  -