Asymptotically isochronous systems

DOI

10.2991/jnmp.2008.15.4.5How to use a DOI?

Abstract

Mechanisms are elucidated underlying the existence of dynamical systems whose generic solutions approach asymptotically (at large time) isochronous evolutions: all their dependent variables tend asymptotically to functions periodic with the same fixed period. We focus on two such mechanisms, emphasizing their generality and illustrating each of them via a representative example. The first example belongs to a recently discovered class of integrable indeed solvable many-body problems. The second example consists of a broad class of (generally nonintegrable) models obtained by deforming appropriately the well-known (integrable and isochronous) many-body problem with inverse-cube two-body forces and a one-body linear (“harmonic oscillator”) force.

Copyright

© 2009, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Francesco Calogero
AU  - David Gomez-Ullate
PY  - 2008
DA  - 2008/12/31
TI  - Asymptotically isochronous systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 410
EP  - 426
VL  - 15
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.4.5
DO  - 10.2991/jnmp.2008.15.4.5
ID  - Calogero2008
ER  -