STABLE ORBITS EMBEDDED IN A CHAOTIC ATTRACTOR FOR A TRAPPED ION INTERACTING WITH A LASER FIELD

Authors
HAI WH DUAN YW ZHU XW LUO XL SHI L
Citation
Wh. Hai et al., STABLE ORBITS EMBEDDED IN A CHAOTIC ATTRACTOR FOR A TRAPPED ION INTERACTING WITH A LASER FIELD, Journal of physics. A, mathematical and general, 31(13), 1998, pp. 2991-2996
Citations number
20
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
13
Year of publication
1998
Pages
2991 - 2996
Database
ISI
SICI code
0305-4470(1998)31:13<2991:SOEIAC>2.0.ZU;2-Y
Abstract
The interaction between a trapped ion and a resonant laser standing wa ve is studied under the analytical approximation. Periodic orbits next to the heteroclinic one and their stability conditions are derived fr om the Rayleigh perturbation method. Theoretical analysis reveals the stable periodic orbits to be embedded in the Melnikov chaotic attracto r. The corresponding numerical results show that fitting control param eters into the stability conditions can control chaos in the system.