Abstract | ||
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We derive the asymptotic motion equations of vortices for the time-dependent Gross-Pitaevskii equation with a harmonic trap potential. The asymptotic motion equations form a system of ordinary differential equations which can be regarded as a perturbation of the standard Kirchhoff problem. From the numerical simulation on the asymptotic motion equations, we observe that the bounded and collisionless trajectories of three vortices form chaotic, quasi 2-or quasi 3-periodic orbits. Furthermore, a new phenomenon of 1:1-topological synchronization is observed in the chaotic trajectories of two vortices. |
Year | DOI | Venue |
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2002 | 10.1142/S0218127402004644 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
vortices, topological synchronization, Bose-Einstein condensates | Journal | 12 |
Issue | ISSN | Citations |
4 | 0218-1274 | 1 |
PageRank | References | Authors |
0.48 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shu-ming Chang | 1 | 30 | 8.19 |
Wen-wei Lin | 2 | 456 | 67.35 |
Tai-chia Lin | 3 | 4 | 3.29 |